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147668004 = 2232112331523
BaseRepresentation
bin10001100110100…
…11110000100100
3101021212022102100
420303103300210
5300300334004
622353012100
73442104651
oct1063236044
9337768370
10147668004
117639a180
1241554030
1324793623
141587cc28
15ce6d739
hex8cd3c24

147668004 has 144 divisors (see below), whose sum is σ = 439455744. Its totient is φ = 41342400.

The previous prime is 147667997. The next prime is 147668009. The reversal of 147668004 is 400866741.

147668004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 147668004.

It is not an unprimeable number, because it can be changed into a prime (147668009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282087 + ... + 282609.

It is an arithmetic number, because the mean of its divisors is an integer number (3051776).

Almost surely, 2147668004 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 147668004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219727872).

147668004 is an abundant number, since it is smaller than the sum of its proper divisors (291787740).

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

147668004 is a wasteful number, since it uses less digits than its factorization.

147668004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 147668004 is about 12151.8724483102. The cubic root of 147668004 is about 528.5614293284.

The spelling of 147668004 in words is "one hundred forty-seven million, six hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 31 33 36 44 46 62 66 69 92 93 99 124 132 138 186 198 207 253 276 279 341 372 396 414 506 523 558 682 713 759 828 1012 1023 1046 1116 1364 1426 1518 1569 2046 2092 2139 2277 2852 3036 3069 3138 4092 4278 4554 4707 5753 6138 6276 6417 7843 8556 9108 9414 11506 12029 12276 12834 15686 16213 17259 18828 23012 23529 24058 25668 31372 32426 34518 36087 47058 48116 48639 51777 64852 69036 70587 72174 94116 97278 103554 108261 132319 141174 144348 145917 178343 194556 207108 216522 264638 282348 291834 356686 372899 396957 433044 529276 535029 583668 713372 745798 793914 1070058 1118697 1190871 1491596 1587828 1605087 2140116 2237394 2381742 3210174 3356091 4101889 4474788 4763484 6420348 6712182 8203778 12305667 13424364 16407556 24611334 36917001 49222668 73834002 147668004