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147400032 = 25313831423
BaseRepresentation
bin10001100100100…
…10010101100000
3101021100200211110
420302102111200
5300213300112
622343143320
73436610463
oct1062222540
9337320743
10147400032
117622690a
1241444b40
13246cb670
141580d2da
15ce1913c
hex8c92560

147400032 has 96 divisors (see below), whose sum is σ = 422005248. Its totient is φ = 44775936.

The previous prime is 147400027. The next prime is 147400079. The reversal of 147400032 is 230004741.

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

It is a junction number, because it is equal to n+sod(n) for n = 147399981 and 147400008.

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, 102873 + ... + 104295.

It is an arithmetic number, because the mean of its divisors is an integer number (4395888).

Almost surely, 2147400032 is an apocalyptic number.

147400032 is a gapful number since it is divisible by the number (12) 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 147400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211002624).

147400032 is an abundant number, since it is smaller than the sum of its proper divisors (274605216).

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

147400032 is a wasteful number, since it uses less digits than its factorization.

147400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 147400032 is about 12140.8414864868. The cubic root of 147400032 is about 528.2415102679.

Adding to 147400032 its reverse (230004741), we get a palindrome (377404773).

The spelling of 147400032 in words is "one hundred forty-seven million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 208 249 312 332 416 498 624 664 996 1079 1248 1328 1423 1992 2158 2656 2846 3237 3984 4269 4316 5692 6474 7968 8538 8632 11384 12948 17076 17264 18499 22768 25896 34152 34528 36998 45536 51792 55497 68304 73996 103584 110994 118109 136608 147992 221988 236218 295984 354327 443976 472436 591968 708654 887952 944872 1417308 1535417 1775904 1889744 2834616 3070834 3779488 4606251 5669232 6141668 9212502 11338464 12283336 18425004 24566672 36850008 49133344 73700016 147400032