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1120700928 = 29317167257
BaseRepresentation
bin100001011001100…
…1000101000000000
32220002210111122210
41002303020220000
54243344412203
6303112302120
736525541434
oct10263105000
92802714583
101120700928
11525674216
122733a1940
1314b24b159
14a8baa9c4
15685c4803
hex42cc8a00

1120700928 has 160 divisors (see below), whose sum is σ = 3192545664. Its totient is φ = 348127232.

The previous prime is 1120700923. The next prime is 1120700989. The reversal of 1120700928 is 8290070211.

It is a super-2 number, since 2×11207009282 = 2511941140040122368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1120700895 and 1120700904.

It is not an unprimeable number, because it can be changed into a prime (1120700923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4360576 + ... + 4360832.

Almost surely, 21120700928 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 1120700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596272832).

1120700928 is an abundant number, since it is smaller than the sum of its proper divisors (2071844736).

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

1120700928 is a wasteful number, since it uses less digits than its factorization.

1120700928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1120700928 is about 33476.8715384219. The cubic root of 1120700928 is about 1038.7154159370.

The spelling of 1120700928 in words is "one billion, one hundred twenty million, seven hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 167 192 204 256 257 272 334 384 408 501 512 514 544 668 768 771 816 1002 1028 1088 1336 1536 1542 1632 2004 2056 2176 2672 2839 3084 3264 4008 4112 4352 4369 5344 5678 6168 6528 8016 8224 8517 8704 8738 10688 11356 12336 13056 13107 16032 16448 17034 17476 21376 22712 24672 26112 26214 32064 32896 34068 34952 42752 42919 45424 49344 52428 64128 65792 68136 69904 85504 85838 90848 98688 104856 128256 128757 131584 136272 139808 171676 181696 197376 209712 256512 257514 272544 279616 343352 363392 394752 419424 515028 545088 559232 686704 726784 729623 838848 1030056 1090176 1118464 1373408 1453568 1459246 1677696 2060112 2180352 2188869 2236928 2746816 2918492 3355392 4120224 4360704 4377738 5493632 5836984 6710784 8240448 8755476 10987264 11673968 16480896 17510952 21974528 23347936 32961792 35021904 46695872 65923584 70043808 93391744 140087616 186783488 280175232 373566976 560350464 1120700928