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152010240 = 293519793
BaseRepresentation
bin10010000111101…
…11111000000000
3101121000220211220
421003313320000
5302403311430
623030035040
73524031354
oct1103677000
9347026756
10152010240
11788955a8
1242aa8a80
1325653bb5
141628d464
15d52a110
hex90f7e00

152010240 has 80 divisors (see below), whose sum is σ = 485982288. Its totient is φ = 40534016.

The previous prime is 152010239. The next prime is 152010259. The reversal of 152010240 is 42010251.

152010240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1520102402 = 46214226129715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2217 + ... + 17576.

Almost surely, 2152010240 is an apocalyptic number.

152010240 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 152010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242991144).

152010240 is an abundant number, since it is smaller than the sum of its proper divisors (333972048).

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

152010240 is an equidigital number, since it uses as much as digits as its factorization.

152010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19819 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 152010240 is about 12329.2432857820. The cubic root of 152010240 is about 533.6923138757.

Adding to 152010240 its reverse (42010251), we get a palindrome (194020491).

The spelling of 152010240 in words is "one hundred fifty-two million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 19793 39586 59379 79172 98965 118758 158344 197930 237516 296895 316688 395860 475032 593790 633376 791720 950064 1187580 1266752 1583440 1900128 2375160 2533504 3166880 3800256 4750320 5067008 6333760 7600512 9500640 10134016 12667520 15201024 19001280 25335040 30402048 38002560 50670080 76005120 152010240