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151001536 = 2672179269
BaseRepresentation
bin10010000000000…
…01100111000000
3101112010200011111
421000001213000
5302124022121
622552253104
73512330500
oct1100014700
9345120144
10151001536
1178266764
12426a1194
132538ca2a
14160a9a00
15d3cb2e1
hex90019c0

151001536 has 84 divisors (see below), whose sum is σ = 351815400. Its totient is φ = 64114176.

The previous prime is 151001533. The next prime is 151001581. The reversal of 151001536 is 635100151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151001533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561210 + ... + 561478.

Almost surely, 2151001536 is an apocalyptic number.

151001536 is a gapful number since it is divisible by the number (16) 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 151001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175907700).

151001536 is an abundant number, since it is smaller than the sum of its proper divisors (200813864).

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

151001536 is a wasteful number, since it uses less digits than its factorization.

151001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 151001536 is about 12288.2682262392. The cubic root of 151001536 is about 532.5092077434.

Adding to 151001536 its reverse (635100151), we get a palindrome (786101687).

The spelling of 151001536 in words is "one hundred fifty-one million, one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 179 196 224 269 358 392 448 538 716 784 1076 1253 1432 1568 1883 2152 2506 2864 3136 3766 4304 5012 5728 7532 8608 8771 10024 11456 13181 15064 17216 17542 20048 26362 30128 35084 40096 48151 52724 60256 70168 80192 96302 105448 120512 140336 192604 210896 280672 337057 385208 421792 561344 674114 770416 843584 1348228 1540832 2359399 2696456 3081664 4718798 5392912 9437596 10785824 18875192 21571648 37750384 75500768 151001536