Search a number
-
+
142475520 = 2835113373
BaseRepresentation
bin10000111111000…
…00000100000000
3100221002111200010
420133200010000
5242433204040
622045424520
73350010345
oct1037400400
9327074603
10142475520
1173472a70
123b86b140
1323696055
1414cca7cc
15c794e80
hex87e0100

142475520 has 144 divisors (see below), whose sum is σ = 496544832. Its totient is φ = 34529280.

The previous prime is 142475513. The next prime is 142475527. The reversal of 142475520 is 25574241.

It is an interprime number because it is at equal distance from previous prime (142475513) and next prime (142475527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142475527) 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, 40554 + ... + 43926.

It is an arithmetic number, because the mean of its divisors is an integer number (3448228).

Almost surely, 2142475520 is an apocalyptic number.

142475520 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 142475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248272416).

142475520 is an abundant number, since it is smaller than the sum of its proper divisors (354069312).

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

142475520 is a wasteful number, since it uses less digits than its factorization.

142475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 142475520 is about 11936.3109879058. The cubic root of 142475520 is about 522.2920518932.

The spelling of 142475520 in words is "one hundred forty-two million, four hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3373 3520 3840 4224 5280 6746 7040 8448 10119 10560 13492 14080 16865 20238 21120 26984 33730 37103 40476 42240 50595 53968 67460 74206 80952 101190 107936 111309 134920 148412 161904 185515 202380 215872 222618 269840 296824 323808 371030 404760 431744 445236 539680 556545 593648 647616 742060 809520 863488 890472 1079360 1113090 1187296 1295232 1484120 1619040 1780944 2158720 2226180 2374592 2590464 2968240 3238080 3561888 4317440 4452360 4749184 5936480 6476160 7123776 8904720 9498368 11872960 12952320 14247552 17809440 23745920 28495104 35618880 47491840 71237760 142475520