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150693440 = 2651727701
BaseRepresentation
bin10001111101101…
…10011001000000
3101111120000112112
420332312121000
5302034142230
622541514452
73506605322
oct1076663100
9344500475
10150693440
1178076237
1242572a28
13252b2721
1416029612
15d369d95
hex8fb6640

150693440 has 56 divisors (see below), whose sum is σ = 379960632. Its totient is φ = 56729600.

The previous prime is 150693437. The next prime is 150693451. The reversal of 150693440 is 44396051.

It can be written as a sum of positive squares in 4 ways, for example, as 25969216 + 124724224 = 5096^2 + 11168^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 150693397 and 150693406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8411 + ... + 19290.

Almost surely, 2150693440 is an apocalyptic number.

150693440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150693440 is an abundant number, since it is smaller than the sum of its proper divisors (229267192).

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

150693440 is a wasteful number, since it uses less digits than its factorization.

150693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27735 (or 27725 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 150693440 is about 12275.7256404662. The cubic root of 150693440 is about 532.1467927408.

The spelling of 150693440 in words is "one hundred fifty million, six hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 27701 55402 110804 138505 221608 277010 443216 470917 554020 886432 941834 1108040 1772864 1883668 2216080 2354585 3767336 4432160 4709170 7534672 8864320 9418340 15069344 18836680 30138688 37673360 75346720 150693440