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147420756 = 223371091789
BaseRepresentation
bin10001100100101…
…11011001010100
3101021101202021000
420302113121110
5300214431011
622343423300
73440025060
oct1062273124
9337352230
10147420756
117624043a
1241454b30
1324707c22
1415816aa0
15ce20356
hex8c97654

147420756 has 96 divisors (see below), whose sum is σ = 441056000. Its totient is φ = 41710464.

The previous prime is 147420751. The next prime is 147420761. The reversal of 147420756 is 657024741.

It is an interprime number because it is at equal distance from previous prime (147420751) and next prime (147420761).

It is a super-2 number, since 2×1474207562 = 43465758599223072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 147420756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147420751) 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 31 ways as a sum of consecutive naturals, for example, 81510 + ... + 83298.

Almost surely, 2147420756 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 147420756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220528000).

147420756 is an abundant number, since it is smaller than the sum of its proper divisors (293635244).

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

147420756 is a wasteful number, since it uses less digits than its factorization.

147420756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 147420756 is about 12141.6949393402. The cubic root of 147420756 is about 528.2662654956.

It can be divided in two parts, 147 and 420756, that added together give a triangular number (420903 = T917).

The spelling of 147420756 in words is "one hundred forty-seven million, four hundred twenty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 189 218 252 327 378 436 654 756 763 981 1308 1526 1789 1962 2289 2943 3052 3578 3924 4578 5367 5886 6867 7156 9156 10734 11772 12523 13734 16101 20601 21468 25046 27468 32202 37569 41202 48303 50092 64404 75138 82404 96606 112707 150276 193212 195001 225414 338121 390002 450828 585003 676242 780004 1170006 1352484 1365007 1755009 2340012 2730014 3510018 4095021 5265027 5460028 7020036 8190042 10530054 12285063 16380084 21060108 24570126 36855189 49140252 73710378 147420756