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1890080676 = 2233113374721
BaseRepresentation
bin111000010101000…
…0101011110100100
311212201112001021000
41300222011132210
512332330040201
6511314553300
764560264201
oct16052053644
94781461230
101890080676
1188a9a0650
12448b98830
1324176c943
1413d044ca8
15b0dedd86
hex70a857a4

1890080676 has 96 divisors (see below), whose sum is σ = 5362680960. Its totient is φ = 570931200.

The previous prime is 1890080671. The next prime is 1890080711. The reversal of 1890080676 is 6760800981.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1890080671) 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, 397996 + ... + 402716.

It is an arithmetic number, because the mean of its divisors is an integer number (55861260).

Almost surely, 21890080676 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 1890080676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681340480).

1890080676 is an abundant number, since it is smaller than the sum of its proper divisors (3472600284).

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

1890080676 is a wasteful number, since it uses less digits than its factorization.

1890080676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1890080676 is about 43475.0580908180. The cubic root of 1890080676 is about 1236.4031816929.

The spelling of 1890080676 in words is "one billion, eight hundred ninety million, eighty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 337 396 594 674 1011 1188 1348 2022 3033 3707 4044 4721 6066 7414 9099 9442 11121 12132 14163 14828 18198 18884 22242 28326 33363 36396 42489 44484 51931 56652 66726 84978 100089 103862 127467 133452 155793 169956 200178 207724 254934 311586 400356 467379 509868 623172 934758 1402137 1590977 1869516 2804274 3181954 4772931 5608548 6363908 9545862 14318793 17500747 19091724 28637586 35001494 42956379 52502241 57275172 70002988 85912758 105004482 157506723 171825516 210008964 315013446 472520169 630026892 945040338 1890080676