Search a number
-
+
142510320 = 24335173881
BaseRepresentation
bin10000111111010…
…00100011110000
3100221011021102000
420133220203300
5242440312240
622050254000
73350213661
oct1037504360
9327137360
10142510320
1173497127
123b887300
13236a8b44
1414cd9368
15c7a0430
hex87e88f0

142510320 has 160 divisors (see below), whose sum is σ = 519877440. Its totient is φ = 35758080.

The previous prime is 142510309. The next prime is 142510331. The reversal of 142510320 is 23015241.

It is an interprime number because it is at equal distance from previous prime (142510309) and next prime (142510331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142510293 and 142510302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34780 + ... + 38660.

It is an arithmetic number, because the mean of its divisors is an integer number (3249234).

Almost surely, 2142510320 is an apocalyptic number.

142510320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142510320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259938720).

142510320 is an abundant number, since it is smaller than the sum of its proper divisors (377367120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142510320 is a wasteful number, since it uses less digits than its factorization.

142510320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142510320 is about 11937.7686357208. The cubic root of 142510320 is about 522.3345721423.

Adding to 142510320 its reverse (23015241), we get a palindrome (165525561).

The spelling of 142510320 in words is "one hundred forty-two million, five hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 3881 4080 4590 6120 7344 7762 9180 11643 12240 15524 18360 19405 23286 31048 34929 36720 38810 46572 58215 62096 65977 69858 77620 93144 104787 116430 131954 139716 155240 174645 186288 197931 209574 232860 263908 279432 310480 329885 349290 395862 419148 465720 523935 527816 558864 593793 659770 698580 791724 838296 931440 989655 1047870 1055632 1187586 1319540 1397160 1583448 1676592 1781379 1979310 2095740 2375172 2639080 2794320 2968965 3166896 3562758 3958620 4191480 4750344 5278160 5937930 7125516 7917240 8382960 8906895 9500688 11875860 14251032 15834480 17813790 23751720 28502064 35627580 47503440 71255160 142510320