Search a number
-
+
142043520 = 2735167443
BaseRepresentation
bin10000111011101…
…10100110000000
3100220021120002010
420131312212000
5242330343040
622032252520
73343231023
oct1035664600
9326246063
10142043520
11731a8443
123b6a1140
1323574528
1414c171ba
15c70be80
hex8776980

142043520 has 128 divisors (see below), whose sum is σ = 456503040. Its totient is φ = 37566464.

The previous prime is 142043509. The next prime is 142043521. The reversal of 142043520 is 25340241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142043521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320419 + ... + 320861.

It is an arithmetic number, because the mean of its divisors is an integer number (3566430).

Almost surely, 2142043520 is an apocalyptic number.

142043520 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 142043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228251520).

142043520 is an abundant number, since it is smaller than the sum of its proper divisors (314459520).

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

142043520 is a wasteful number, since it uses less digits than its factorization.

142043520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 142043520 is about 11918.2012065580. The cubic root of 142043520 is about 521.7636369165.

Adding to 142043520 its reverse (25340241), we get a palindrome (167383761).

It can be divided in two parts, 1420435 and 20, that added together give a triangular number (1420455 = T1685).

The spelling of 142043520 in words is "one hundred forty-two million, forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 167 192 240 320 334 384 443 480 501 640 668 835 886 960 1002 1329 1336 1670 1772 1920 2004 2215 2505 2658 2672 3340 3544 4008 4430 5010 5316 5344 6645 6680 7088 8016 8860 10020 10632 10688 13290 13360 14176 16032 17720 20040 21264 21376 26580 26720 28352 32064 35440 40080 42528 53160 53440 56704 64128 70880 73981 80160 85056 106320 106880 141760 147962 160320 170112 212640 221943 283520 295924 320640 369905 425280 443886 591848 739810 850560 887772 1109715 1183696 1479620 1775544 2219430 2367392 2959240 3551088 4438860 4734784 5918480 7102176 8877720 9469568 11836960 14204352 17755440 23673920 28408704 35510880 47347840 71021760 142043520