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150738100 = 22526832207
BaseRepresentation
bin10001111110000…
…01010010110100
3101111122021210121
420333001102310
5302042104400
622542501324
73510152452
oct1077012264
9344567717
10150738100
11780a6847
1242594844
13252c9b56
141603b9d2
15d37821a
hex8fc14b4

150738100 has 36 divisors (see below), whose sum is σ = 327729024. Its totient is φ = 60179680.

The previous prime is 150738061. The next prime is 150738101. The reversal of 150738100 is 1837051.

It is a super-2 number, since 2×1507381002 = 45443949583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150738101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 67197 + ... + 69403.

It is an arithmetic number, because the mean of its divisors is an integer number (9103584).

Almost surely, 2150738100 is an apocalyptic number.

150738100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150738100 is an abundant number, since it is smaller than the sum of its proper divisors (176990924).

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

150738100 is a wasteful number, since it uses less digits than its factorization.

150738100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 150738100 is about 12277.5445427822. The cubic root of 150738100 is about 532.1993571356.

The spelling of 150738100 in words is "one hundred fifty million, seven hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 683 1366 2207 2732 3415 4414 6830 8828 11035 13660 17075 22070 34150 44140 55175 68300 110350 220700 1507381 3014762 6029524 7536905 15073810 30147620 37684525 75369050 150738100