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147760020 = 223257910391
BaseRepresentation
bin10001100111010…
…10001110010100
3101022000222122100
420303222032110
5300311310040
622355002100
73442640142
oct1063521624
9338028570
10147760020
1176452321
1241599330
13247c6485
14158a4592
15ce8ab30
hex8cea394

147760020 has 72 divisors (see below), whose sum is σ = 453922560. Its totient is φ = 38900160.

The previous prime is 147760007. The next prime is 147760031. The reversal of 147760020 is 20067741.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9025 + ... + 19415.

It is an arithmetic number, because the mean of its divisors is an integer number (6304480).

Almost surely, 2147760020 is an apocalyptic number.

147760020 is a gapful number since it is divisible by the number (10) 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 147760020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226961280).

147760020 is an abundant number, since it is smaller than the sum of its proper divisors (306162540).

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

147760020 is a wasteful number, since it uses less digits than its factorization.

147760020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 147760020 is about 12155.6579418804. The cubic root of 147760020 is about 528.6711935935.

The spelling of 147760020 in words is "one hundred forty-seven million, seven hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 10391 14220 20782 31173 41564 51955 62346 93519 103910 124692 155865 187038 207820 311730 374076 467595 623460 820889 935190 1641778 1870380 2462667 3283556 4104445 4925334 7388001 8208890 9850668 12313335 14776002 16417780 24626670 29552004 36940005 49253340 73880010 147760020