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997685760 = 2935373511
BaseRepresentation
bin111011011101110…
…111101000000000
32120112022200120110
4323131313220000
54020401421020
6242555511320
733503121561
oct7335675000
92515280513
10997685760
11472193095
1223a158540
1312b909a06
1496708168
155c8c58e0
hex3b777a00

997685760 has 160 divisors (see below), whose sum is σ = 3276611712. Its totient is φ = 258785280.

The previous prime is 997685719. The next prime is 997685791. The reversal of 997685760 is 67586799.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 997685760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282405 + ... + 285915.

Almost surely, 2997685760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638305856).

997685760 is an abundant number, since it is smaller than the sum of its proper divisors (2278925952).

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

997685760 is a wasteful number, since it uses less digits than its factorization.

997685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The square root of 997685760 is about 31586.1640596005. The cubic root of 997685760 is about 999.2279908219.

The spelling of 997685760 in words is "nine hundred ninety-seven million, six hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 512 555 592 640 740 768 888 960 1110 1184 1280 1480 1536 1776 1920 2220 2368 2560 2960 3511 3552 3840 4440 4736 5920 7022 7104 7680 8880 9472 10533 11840 14044 14208 17555 17760 18944 21066 23680 28088 28416 35110 35520 42132 47360 52665 56176 56832 70220 71040 84264 94720 105330 112352 129907 140440 142080 168528 210660 224704 259814 280880 284160 337056 389721 421320 449408 519628 561760 649535 674112 779442 842640 898816 1039256 1123520 1299070 1348224 1558884 1685280 1797632 1948605 2078512 2247040 2598140 2696448 3117768 3370560 3897210 4157024 4494080 5196280 5392896 6235536 6741120 7794420 8314048 8988160 10392560 12471072 13482240 15588840 16628096 20785120 24942144 26964480 31177680 33256192 41570240 49884288 62355360 66512384 83140480 99768576 124710720 166280960 199537152 249421440 332561920 498842880 997685760