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147720820 = 2251317191759
BaseRepresentation
bin10001100111000…
…00101001110100
3101021221222212111
420303200221310
5300304031240
622354100404
73442414642
oct1063405164
9337858774
10147720820
1176425925
124157a704
13247b1690
1415894192
15ce7e1ea
hex8ce0a74

147720820 has 96 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 48605184.

The previous prime is 147720817. The next prime is 147720821. The reversal of 147720820 is 28027741.

It is a super-2 number, since 2×1477208202 = 43642881322944800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147720821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83101 + ... + 84859.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2147720820 is an apocalyptic number.

147720820 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 147720820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

147720820 is an abundant number, since it is smaller than the sum of its proper divisors (224835980).

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

147720820 is a wasteful number, since it uses less digits than its factorization.

147720820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 147720820 is about 12154.0454170618. The cubic root of 147720820 is about 528.6244381773.

The spelling of 147720820 in words is "one hundred forty-seven million, seven hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 170 190 221 247 260 323 340 380 442 494 646 884 988 1105 1235 1292 1615 1759 2210 2470 3230 3518 4199 4420 4940 6460 7036 8398 8795 16796 17590 20995 22867 29903 33421 35180 41990 45734 59806 66842 83980 91468 114335 119612 133684 149515 167105 228670 299030 334210 388739 434473 457340 568157 598060 668420 777478 868946 1136314 1554956 1737892 1943695 2172365 2272628 2840785 3887390 4344730 5681570 7386041 7774780 8689460 11363140 14772082 29544164 36930205 73860410 147720820