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151035040 = 2551372613
BaseRepresentation
bin10010000000010…
…01110010100000
3101112012101010101
421000021302200
5302131110130
622553112144
73512530252
oct1100116240
9345171111
10151035040
1178289952
12426b8654
13253a2060
14160b7cd2
15d3d61ca
hex9009ca0

151035040 has 48 divisors (see below), whose sum is σ = 384273288. Its totient is φ = 55766016.

The previous prime is 151035023. The next prime is 151035041. The reversal of 151035040 is 40530151.

It can be written as a sum of positive squares in 4 ways, for example, as 116035984 + 34999056 = 10772^2 + 5916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151034999 and 151035017.

It is not an unprimeable number, because it can be changed into a prime (151035041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34227 + ... + 38386.

Almost surely, 2151035040 is an apocalyptic number.

151035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151035040 is an abundant number, since it is smaller than the sum of its proper divisors (233238248).

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

151035040 is a wasteful number, since it uses less digits than its factorization.

151035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72641 (or 72633 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 151035040 is about 12289.6314021211. The cubic root of 151035040 is about 532.5485889524.

Adding to 151035040 its reverse (40530151), we get a palindrome (191565191).

The spelling of 151035040 in words is "one hundred fifty-one million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 72613 145226 290452 363065 580904 726130 943969 1161808 1452260 1887938 2323616 2904520 3775876 4719845 5809040 7551752 9439690 11618080 15103504 18879380 30207008 37758760 75517520 151035040