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152014520 = 23572997193
BaseRepresentation
bin10010000111110…
…00111010111000
3101121001010201102
421003320322320
5302403431040
623030110532
73524050010
oct1103707270
9347033642
10152014520
1178898839
1242aab448
1325655b28
1416290c40
15d52b515
hex90f8eb8

152014520 has 128 divisors (see below), whose sum is σ = 410659200. Its totient is φ = 49545216.

The previous prime is 152014481. The next prime is 152014529. The reversal of 152014520 is 25410251.

152014520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152014492 and 152014501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152014529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787544 + ... + 787736.

It is an arithmetic number, because the mean of its divisors is an integer number (3208275).

Almost surely, 2152014520 is an apocalyptic number.

152014520 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 152014520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205329600).

152014520 is an abundant number, since it is smaller than the sum of its proper divisors (258644680).

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

152014520 is a wasteful number, since it uses less digits than its factorization.

152014520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 152014520 is about 12329.4168556343. The cubic root of 152014520 is about 533.6973227085.

Adding to 152014520 its reverse (25410251), we get a palindrome (177424771).

The spelling of 152014520 in words is "one hundred fifty-two million, fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 97 116 140 145 193 194 203 232 280 290 386 388 406 485 580 679 772 776 812 965 970 1015 1160 1351 1358 1544 1624 1930 1940 2030 2702 2716 2813 3395 3860 3880 4060 5404 5432 5597 5626 6755 6790 7720 8120 10808 11194 11252 13510 13580 14065 18721 19691 22388 22504 27020 27160 27985 28130 37442 39179 39382 44776 54040 55970 56260 74884 78358 78764 93605 98455 111940 112520 131047 149768 156716 157528 187210 195895 196910 223880 262094 313432 374420 391790 393820 524188 542909 655235 748840 783580 787640 1048376 1085818 1310470 1567160 2171636 2620940 2714545 3800363 4343272 5241880 5429090 7600726 10858180 15201452 19001815 21716360 30402904 38003630 76007260 152014520