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997877720 = 2357191071753
BaseRepresentation
bin111011011110100…
…110011111011000
32120112200102220002
4323132212133120
54020424041340
6243003552132
733504551330
oct7336463730
92515612802
10997877720
11472304334
1223a22b648
1312b9761b8
14967580c0
155c912715
hex3b7a67d8

997877720 has 128 divisors (see below), whose sum is σ = 2727820800. Its totient is φ = 320910336.

The previous prime is 997877719. The next prime is 997877729. The reversal of 997877720 is 27778799.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997877729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568364 + ... + 570116.

It is an arithmetic number, because the mean of its divisors is an integer number (21311100).

Almost surely, 2997877720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997877720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363910400).

997877720 is an abundant number, since it is smaller than the sum of its proper divisors (1729943080).

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

997877720 is a wasteful number, since it uses less digits than its factorization.

997877720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 56.

The square root of 997877720 is about 31589.2025856937. The cubic root of 997877720 is about 999.2920722900.

The spelling of 997877720 in words is "nine hundred ninety-seven million, eight hundred seventy-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 107 133 140 152 190 214 266 280 380 428 532 535 665 749 760 856 1064 1070 1330 1498 1753 2033 2140 2660 2996 3506 3745 4066 4280 5320 5992 7012 7490 8132 8765 10165 12271 14024 14231 14980 16264 17530 20330 24542 28462 29960 33307 35060 40660 49084 56924 61355 66614 70120 71155 81320 98168 113848 122710 133228 142310 166535 187571 233149 245420 266456 284620 333070 375142 466298 490840 569240 666140 750284 932596 937855 1165745 1312997 1332280 1500568 1865192 1875710 2331490 2625994 3563849 3751420 4662980 5251988 6564985 7127698 7502840 9325960 10503976 13129970 14255396 17819245 24946943 26259940 28510792 35638490 49893886 52519880 71276980 99787772 124734715 142553960 199575544 249469430 498938860 997877720