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150475104 = 25331313397
BaseRepresentation
bin10001111100000…
…01000101100000
3101111010221001000
420332001011200
5302010200404
622533112000
73505005633
oct1076010540
9344127030
10150475104
1177a3719a
1242488600
1325237230
1415dadc1a
15d325339
hex8f81160

150475104 has 96 divisors (see below), whose sum is σ = 472681440. Its totient is φ = 46296576.

The previous prime is 150475081. The next prime is 150475111. The reversal of 150475104 is 401574051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4534 + ... + 17930.

It is an arithmetic number, because the mean of its divisors is an integer number (4923765).

Almost surely, 2150475104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150475104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236340720).

150475104 is an abundant number, since it is smaller than the sum of its proper divisors (322206336).

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

150475104 is a wasteful number, since it uses less digits than its factorization.

150475104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13429 (or 13415 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 150475104 is about 12266.8294192102. The cubic root of 150475104 is about 531.8896637405.

The spelling of 150475104 in words is "one hundred fifty million, four hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 13397 26794 40191 53588 80382 107176 120573 160764 174161 214352 241146 321528 348322 361719 428704 482292 522483 643056 696644 723438 964584 1044966 1286112 1393288 1446876 1567449 1929168 2089932 2786576 2893752 3134898 3858336 4179864 4702347 5573152 5787504 6269796 8359728 9404694 11575008 12539592 16719456 18809388 25079184 37618776 50158368 75237552 150475104