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2123374760 = 2351331157839
BaseRepresentation
bin111111010010000…
…0010000010101000
312110222111121120122
41332210002002220
513322040443020
6550411142412
7103422246653
oct17644020250
95428447518
102123374760
1199a653981
124b3144a08
1327abb3390
1416201289a
15c6633125
hex7e9020a8

2123374760 has 128 divisors (see below), whose sum is σ = 5351270400. Its totient is φ = 752993280.

The previous prime is 2123374741. The next prime is 2123374769. The reversal of 2123374760 is 674733212.

It is a self number, because there is not a number n which added to its sum of digits gives 2123374760.

It is not an unprimeable number, because it can be changed into a prime (2123374769) 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, 2530421 + ... + 2531259.

It is an arithmetic number, because the mean of its divisors is an integer number (41806800).

Almost surely, 22123374760 is an apocalyptic number.

2123374760 is a gapful number since it is divisible by the number (20) 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 2123374760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675635200).

2123374760 is an abundant number, since it is smaller than the sum of its proper divisors (3227895640).

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

2123374760 is a wasteful number, since it uses less digits than its factorization.

2123374760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 2123374760 is about 46080.0907117163. The cubic root of 2123374760 is about 1285.3129509742.

The spelling of 2123374760 in words is "two billion, one hundred twenty-three million, three hundred seventy-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 157 248 260 310 314 403 520 620 628 785 806 839 1240 1256 1570 1612 1678 2015 2041 3140 3224 3356 4030 4082 4195 4867 6280 6712 8060 8164 8390 9734 10205 10907 16120 16328 16780 19468 20410 21814 24335 26009 33560 38936 40820 43628 48670 52018 54535 63271 81640 87256 97340 104036 109070 126542 130045 131723 194680 208072 218140 253084 260090 263446 316355 338117 436280 506168 520180 526892 632710 658615 676234 1040360 1053784 1265420 1317230 1352468 1690585 1712399 2530840 2634460 2704936 3381170 3424798 4083413 5268920 6762340 6849596 8166826 8561995 13524680 13699192 16333652 17123990 20417065 32667304 34247980 40834130 53084369 68495960 81668260 106168738 163336520 212337476 265421845 424674952 530843690 1061687380 2123374760