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10620000930 = 23571134713249
BaseRepresentation
bin10011110010000000…
…00101101010100010
31000102010101221111210
421321000011222202
5133222210012210
64513451250550
7524113342560
oct117100055242
930363357453
1010620000930
11455a793980
122084749a56
131003299a26
1472a634a30
1542252be20
hex279005aa2

10620000930 has 128 divisors (see below), whose sum is σ = 31871232000. Its totient is φ = 2200227840.

The previous prime is 10620000907. The next prime is 10620000967. The reversal of 10620000930 is 3900002601.

10620000930 is a nontrivial binomial coefficient, being equal to C(145740, 2).

It is a super-2 number, since 2×106200009302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10620000897 and 10620000906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794946 + ... + 808194.

It is an arithmetic number, because the mean of its divisors is an integer number (248994000).

Almost surely, 210620000930 is an apocalyptic number.

10620000930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10620000930 is the 145739-th triangular number and also the 72870-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10620000930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15935616000).

10620000930 is an abundant number, since it is smaller than the sum of its proper divisors (21251231070).

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

10620000930 is a wasteful number, since it uses less digits than its factorization.

10620000930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13624.

The product of its (nonzero) digits is 324, while the sum is 21.

The spelling of 10620000930 in words is "ten billion, six hundred twenty million, nine hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 347 385 462 694 770 1041 1155 1735 2082 2310 2429 3470 3817 4858 5205 7287 7634 10410 11451 12145 13249 14574 19085 22902 24290 26498 26719 36435 38170 39747 53438 57255 66245 72870 79494 80157 92743 114510 132490 133595 145739 160314 185486 198735 267190 278229 291478 397470 400785 437217 463715 556458 728695 801570 874434 927430 1020173 1391145 1457390 2040346 2186085 2782290 3060519 4372170 4597403 5100865 6121038 9194806 10201730 13792209 15302595 22987015 27584418 30605190 32181821 45974030 50571433 64363642 68961045 96545463 101142866 137922090 151714299 160909105 193090926 252857165 303428598 321818210 354000031 482727315 505714330 708000062 758571495 965454630 1062000093 1517142990 1770000155 2124000186 3540000310 5310000465 10620000930