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1350692840 = 23573175791
BaseRepresentation
bin101000010000001…
…1110111111101000
310111010120022020202
41100200132333220
510231234132330
6342010011332
745320462000
oct12040367750
93433508222
101350692840
11633481582
12318416b48
13186aa6843
14cb559000
157d8a5445
hex5081efe8

1350692840 has 128 divisors (see below), whose sum is σ = 3753216000. Its totient is φ = 435778560.

The previous prime is 1350692813. The next prime is 1350692851. The reversal of 1350692840 is 482960531.

It is a happy number.

It is a super-2 number, since 2×13506928402 = 3648742296054531200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1350692794 and 1350692803.

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, 230345 + ... + 236135.

It is an arithmetic number, because the mean of its divisors is an integer number (29322000).

Almost surely, 21350692840 is an apocalyptic number.

1350692840 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 1350692840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876608000).

1350692840 is an abundant number, since it is smaller than the sum of its proper divisors (2402523160).

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

1350692840 is a wasteful number, since it uses less digits than its factorization.

1350692840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 1350692840 is about 36751.7732905502. The cubic root of 1350692840 is about 1105.3984872112.

The spelling of 1350692840 in words is "one billion, three hundred fifty million, six hundred ninety-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 343 392 476 490 595 680 686 833 952 980 1190 1372 1666 1715 1960 2380 2744 3332 3430 4165 4760 5791 5831 6664 6860 8330 11582 11662 13720 16660 23164 23324 28955 29155 33320 40537 46328 46648 57910 58310 81074 98447 115820 116620 162148 196894 202685 231640 233240 283759 324296 393788 405370 492235 567518 689129 787576 810740 984470 1135036 1378258 1418795 1621480 1968940 1986313 2270072 2756516 2837590 3445645 3937880 3972626 4823903 5513032 5675180 6891290 7945252 9647806 9931565 11350360 13782580 15890504 19295612 19863130 24119515 27565160 33767321 38591224 39726260 48239030 67534642 79452520 96478060 135069284 168836605 192956120 270138568 337673210 675346420 1350692840