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775369140 = 2235721320287
BaseRepresentation
bin101110001101110…
…011000110110100
32000000222211111120
4232031303012310
53041443303030
6204534503540
725133346300
oct5615630664
92000884446
10775369140
11368748347
12197804bb0
13c483aa10
1474d96d00
154810e010
hex2e3731b4

775369140 has 144 divisors (see below), whose sum is σ = 2719890432. Its totient is φ = 163586304.

The previous prime is 775369139. The next prime is 775369159. The reversal of 775369140 is 41963577.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 775369092 and 775369101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28077 + ... + 48363.

It is an arithmetic number, because the mean of its divisors is an integer number (18888128).

Almost surely, 2775369140 is an apocalyptic number.

775369140 is a gapful number since it is divisible by the number (70) 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 775369140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359945216).

775369140 is an abundant number, since it is smaller than the sum of its proper divisors (1944521292).

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

775369140 is a wasteful number, since it uses less digits than its factorization.

775369140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20326 (or 20317 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 775369140 is about 27845.4509749797. The cubic root of 775369140 is about 918.6910891932.

The spelling of 775369140 in words is "seven hundred seventy-five million, three hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 20287 38220 40574 60861 81148 101435 121722 142009 202870 243444 263731 284018 304305 405740 426027 527462 568036 608610 710045 791193 852054 994063 1054924 1217220 1318655 1420090 1582386 1704108 1846117 1988126 2130135 2637310 2840180 2982189 3164772 3692234 3955965 3976252 4260270 4970315 5274620 5538351 5964378 7384468 7911930 8520540 9230585 9940630 11076702 11928756 12922819 14910945 15823860 18461170 19881260 22153404 25845638 27691755 29821890 36922340 38768457 51691276 55383510 59643780 64614095 77536914 110767020 129228190 155073828 193842285 258456380 387684570 775369140