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1163998720 = 2952353373
BaseRepresentation
bin100010101100001…
…0011011000000000
310000010021021001201
41011120103120000
54340440424340
6311300310544
740562553163
oct10530233000
93003237051
101163998720
11548057515
122859a2454
131571caa51
14b083bada
156c2c879a
hex45613600

1163998720 has 160 divisors (see below), whose sum is σ = 2975113152. Its totient is φ = 435781632.

The previous prime is 1163998711. The next prime is 1163998727. The reversal of 1163998720 is 278993611.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163998727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120454 + ... + 3120826.

Almost surely, 21163998720 is an apocalyptic number.

1163998720 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 1163998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487556576).

1163998720 is an abundant number, since it is smaller than the sum of its proper divisors (1811114432).

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

1163998720 is an equidigital number, since it uses as much as digits as its factorization.

1163998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 1163998720 is about 34117.4254597266. The cubic root of 1163998720 is about 1051.9235247313.

The spelling of 1163998720 in words is "one billion, one hundred sixty-three million, nine hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 64 80 92 106 115 128 160 184 212 230 256 265 320 368 373 424 460 512 530 640 736 746 848 920 1060 1219 1280 1472 1492 1696 1840 1865 2120 2438 2560 2944 2984 3392 3680 3730 4240 4876 5888 5968 6095 6784 7360 7460 8480 8579 9752 11776 11936 12190 13568 14720 14920 16960 17158 19504 19769 23872 24380 27136 29440 29840 33920 34316 39008 39538 42895 47744 48760 58880 59680 67840 68632 78016 79076 85790 95488 97520 98845 119360 135680 137264 156032 158152 171580 190976 195040 197690 238720 274528 312064 316304 343160 390080 395380 454687 477440 549056 624128 632608 686320 780160 790760 909374 954880 1098112 1265216 1372640 1560320 1581520 1818748 2196224 2273435 2530432 2745280 3120640 3163040 3637496 4392448 4546870 5060864 5490560 6326080 7274992 9093740 10121728 10981120 12652160 14549984 18187480 21962240 25304320 29099968 36374960 50608640 58199936 72749920 116399872 145499840 232799744 290999680 581999360 1163998720