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147472080 = 24357412141
BaseRepresentation
bin10001100101000…
…11111011010000
3101021111100122220
420302203323100
5300223101310
622344501040
73440330520
oct1062437320
9337440586
10147472080
1176275a58
124147a780
13247253b2
141582b680
15ce30670
hex8ca3ed0

147472080 has 160 divisors (see below), whose sum is σ = 535465728. Its totient is φ = 32870400.

The previous prime is 147472063. The next prime is 147472097. The reversal of 147472080 is 80274741.

It is an interprime number because it is at equal distance from previous prime (147472063) and next prime (147472097).

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 31 ways as a sum of consecutive naturals, for example, 67810 + ... + 69950.

Almost surely, 2147472080 is an apocalyptic number.

147472080 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 147472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267732864).

147472080 is an abundant number, since it is smaller than the sum of its proper divisors (387993648).

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

147472080 is a wasteful number, since it uses less digits than its factorization.

147472080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 147472080 is about 12143.8082988822. The cubic root of 147472080 is about 528.3275630423.

The spelling of 147472080 in words is "one hundred forty-seven million, four hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2141 2296 2460 2870 3280 3444 4282 4305 4592 4920 5740 6423 6888 8564 8610 9840 10705 11480 12846 13776 14987 17128 17220 21410 22960 25692 29974 32115 34256 34440 42820 44961 51384 59948 64230 68880 74935 85640 87781 89922 102768 119896 128460 149870 171280 175562 179844 224805 239792 256920 263343 299740 351124 359688 438905 449610 513840 526686 599480 614467 702248 719376 877810 899220 1053372 1198960 1228934 1316715 1404496 1755620 1798440 1843401 2106744 2457868 2633430 3072335 3511240 3596880 3686802 4213488 4915736 5266860 6144670 7022480 7373604 9217005 9831472 10533720 12289340 14747208 18434010 21067440 24578680 29494416 36868020 49157360 73736040 147472080