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150918640 = 2452382021
BaseRepresentation
bin10001111111011…
…01010111110000
3101111222110110021
420333231113300
5302113344030
622550413224
73511534015
oct1077552760
9344873407
10150918640
117820a454
1242661214
1325361092
141608770c
15d3b197a
hex8fed5f0

150918640 has 40 divisors (see below), whose sum is σ = 366146208. Its totient is φ = 57742080.

The previous prime is 150918631. The next prime is 150918641. The reversal of 150918640 is 46819051.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 150918596 and 150918605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150918641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39171 + ... + 42850.

Almost surely, 2150918640 is an apocalyptic number.

150918640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150918640 is an abundant number, since it is smaller than the sum of its proper divisors (215227568).

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

150918640 is a wasteful number, since it uses less digits than its factorization.

150918640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82057 (or 82051 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 150918640 is about 12284.8947899443. The cubic root of 150918640 is about 532.4117452392.

The spelling of 150918640 in words is "one hundred fifty million, nine hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 82021 164042 328084 410105 656168 820210 1312336 1640420 1886483 3280840 3772966 6561680 7545932 9432415 15091864 18864830 30183728 37729660 75459320 150918640