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147244032 = 21032131229
BaseRepresentation
bin10001100011011…
…00010000000000
3101021001202211200
420301230100000
5300143302112
622335541200
73435360615
oct1061542000
9337052750
10147244032
117612a691
124138a800
1324675660
14157ac50c
15cdd7cdc
hex8c6c400

147244032 has 132 divisors (see below), whose sum is σ = 458241420. Its totient is φ = 45268992.

The previous prime is 147243983. The next prime is 147244033. The reversal of 147244032 is 230442741.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 53231616 = 9696^2 + 7296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 147243987 and 147244005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147244033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119194 + ... + 120422.

Almost surely, 2147244032 is an apocalyptic number.

147244032 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 147244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229120710).

147244032 is an abundant number, since it is smaller than the sum of its proper divisors (310997388).

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

147244032 is a wasteful number, since it uses less digits than its factorization.

147244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 147244032 is about 12134.4151898639. The cubic root of 147244032 is about 528.0550906705.

Adding to 147244032 its reverse (230442741), we get a palindrome (377686773).

The spelling of 147244032 in words is "one hundred forty-seven million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1229 1248 1536 1664 1872 2304 2458 2496 3072 3328 3687 3744 4608 4916 4992 6656 7374 7488 9216 9832 9984 11061 13312 14748 14976 15977 19664 19968 22122 29496 29952 31954 39328 39936 44244 47931 58992 59904 63908 78656 88488 95862 117984 119808 127816 143793 157312 176976 191724 235968 255632 287586 314624 353952 383448 471936 511264 575172 629248 707904 766896 943872 1022528 1150344 1258496 1415808 1533792 1887744 2045056 2300688 2831616 3067584 3775488 4090112 4601376 5663232 6135168 8180224 9202752 11326464 12270336 16360448 18405504 24540672 36811008 49081344 73622016 147244032