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150101504 = 297231193
BaseRepresentation
bin10001111001001…
…01111000000000
3101110102221112222
420330211320000
5301411222004
622521110212
73501561500
oct1074457000
9343387488
10150101504
1177801533
1242328368
1325136177
1415d13a00
15d29e7be
hex8f25e00

150101504 has 120 divisors (see below), whose sum is σ = 361994688. Its totient is φ = 61931520.

The previous prime is 150101461. The next prime is 150101527. The reversal of 150101504 is 405101051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777632 + ... + 777824.

Almost surely, 2150101504 is an apocalyptic number.

150101504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150101504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180997344).

150101504 is an abundant number, since it is smaller than the sum of its proper divisors (211893184).

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

150101504 is an equidigital number, since it uses as much as digits as its factorization.

150101504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 150101504 is about 12251.5918965659. The cubic root of 150101504 is about 531.4491065627.

Adding to 150101504 its reverse (405101051), we get a palindrome (555202555).

The spelling of 150101504 in words is "one hundred fifty million, one hundred one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 193 196 217 224 248 256 386 392 434 448 496 512 772 784 868 896 992 1351 1519 1544 1568 1736 1792 1984 2702 3038 3088 3136 3472 3584 3968 5404 5983 6076 6176 6272 6944 7936 9457 10808 11966 12152 12352 12544 13888 15872 18914 21616 23932 24304 24704 25088 27776 37828 41881 43232 47864 48608 49408 55552 75656 83762 86464 95728 97216 98816 111104 151312 167524 172928 191456 194432 293167 302624 335048 345856 382912 388864 586334 605248 670096 691712 765824 777728 1172668 1210496 1340192 1531648 2345336 2420992 2680384 3063296 4690672 4841984 5360768 9381344 10721536 18762688 21443072 37525376 75050752 150101504