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147190120 = 23572116827
BaseRepresentation
bin10001100010111…
…11000101101000
3101020222000212221
420301133011220
5300140040440
622334443424
73435044500
oct1061370550
9336860787
10147190120
11760a3130
1241363574
1324656c5c
1415796a00
15cdc6d4a
hex8c5f168

147190120 has 96 divisors (see below), whose sum is σ = 420331680. Its totient is φ = 45870720.

The previous prime is 147190117. The next prime is 147190187. The reversal of 147190120 is 21091741.

It is a super-2 number, since 2×1471901202 = 43329862851228800, which contains 22 as substring.

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, 18147 + ... + 24973.

It is an arithmetic number, because the mean of its divisors is an integer number (4378455).

Almost surely, 2147190120 is an apocalyptic number.

147190120 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 147190120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210165840).

147190120 is an abundant number, since it is smaller than the sum of its proper divisors (273141560).

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

147190120 is a wasteful number, since it uses less digits than its factorization.

147190120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 147190120 is about 12132.1935362077. The cubic root of 147190120 is about 527.9906353558.

The spelling of 147190120 in words is "one hundred forty-seven million, one hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 6827 10780 13654 21560 27308 34135 47789 54616 68270 75097 95578 136540 150194 191156 238945 273080 300388 334523 375485 382312 477890 525679 600776 669046 750970 955780 1051358 1338092 1501940 1672615 1911560 2102716 2628395 2676184 3003880 3345230 3679753 4205432 5256790 6690460 7359506 10513580 13380920 14719012 18398765 21027160 29438024 36797530 73595060 147190120