Search a number
-
+
620731715700 = 2235219500321767
BaseRepresentation
bin10010000100001100111…
…11100101000001110100
32012100012212020022222110
421002012133211001310
540132224304400300
61153054334531020
762563211345565
oct11020637450164
92170185208873
10620731715700
1121a283964438
12a0375966a70
13466c4aca3c5
14220877dc16c
151122ee73550
hex90867e5074

620731715700 has 144 divisors (see below), whose sum is σ = 1890973969920. Its totient is φ = 156777886080.

The previous prime is 620731715677. The next prime is 620731715743. The reversal of 620731715700 is 7517137026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28506217 + ... + 28527983.

It is an arithmetic number, because the mean of its divisors is an integer number (13131763680).

Almost surely, 2620731715700 is an apocalyptic number.

620731715700 is a gapful number since it is divisible by the number (60) 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 620731715700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945486984960).

620731715700 is an abundant number, since it is smaller than the sum of its proper divisors (1270242254220).

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

620731715700 is a wasteful number, since it uses less digits than its factorization.

620731715700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26806 (or 26799 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 620731715700 in words is "six hundred twenty billion, seven hundred thirty-one million, seven hundred fifteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5003 5700 10006 15009 20012 21767 25015 30018 43534 50030 60036 65301 75045 87068 95057 100060 108835 125075 130602 150090 190114 217670 250150 261204 285171 300180 326505 375225 380228 413573 435340 475285 500300 544175 570342 653010 750450 827146 950570 1088350 1140684 1240719 1306020 1425855 1500900 1632525 1654292 1901140 2067865 2176700 2376425 2481438 2851710 3265050 4135730 4752850 4962876 5703420 6203595 6530100 7129275 8271460 9505700 10339325 12407190 14258550 20678650 24814380 28517100 31017975 41357300 62035950 108900301 124071900 217800602 326700903 435601204 544501505 653401806 1089003010 1306803612 1633504515 2069105719 2178006020 2722507525 3267009030 4138211438 5445015050 6207317157 6534018060 8167522575 8276422876 10345528595 10890030100 12414634314 16335045150 20691057190 24829268628 31036585785 32670090300 41382114380 51727642975 62073171570 103455285950 124146343140 155182928925 206910571900 310365857850 620731715700