[go: up one dir, main page]

Search a number
-
+
1058812820 = 2251323593001
BaseRepresentation
bin111111000111000…
…011001110010100
32201210100021010122
4333013003032110
54132024002240
6253022011112
735144521562
oct7707031624
92653307118
101058812820
114a374381a
12256716a98
1313b48c980
14a089aa32
1562e4c4b5
hex3f1c3394

1058812820 has 96 divisors (see below), whose sum is σ = 2541853440. Its totient is φ = 367488000.

The previous prime is 1058812793. The next prime is 1058812837. The reversal of 1058812820 is 282188501.

It is a super-2 number, since 2×10588128202 = 2242169175592704800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351320 + ... + 354320.

It is an arithmetic number, because the mean of its divisors is an integer number (26477640).

Almost surely, 21058812820 is an apocalyptic number.

1058812820 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 1058812820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270926720).

1058812820 is an abundant number, since it is smaller than the sum of its proper divisors (1483040620).

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

1058812820 is a wasteful number, since it uses less digits than its factorization.

1058812820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 1058812820 is about 32539.4041125525. The cubic root of 1058812820 is about 1019.2320311861.

The spelling of 1058812820 in words is "one billion, fifty-eight million, eight hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 59 65 92 115 118 130 230 236 260 295 299 460 590 598 767 1180 1196 1357 1495 1534 2714 2990 3001 3068 3835 5428 5980 6002 6785 7670 12004 13570 15005 15340 17641 27140 30010 35282 39013 60020 69023 70564 78026 88205 138046 156052 176410 177059 195065 276092 345115 352820 354118 390130 690230 708236 780260 885295 897299 1380460 1770590 1794598 2301767 3541180 3589196 4072357 4486495 4603534 8144714 8972990 9207068 11508835 16289428 17945980 20361785 23017670 40723570 46035340 52940641 81447140 105881282 211762564 264703205 529406410 1058812820