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1601703680 = 28559127167
BaseRepresentation
bin101111101111000…
…0000111100000000
311010121212222101112
41133132000330000
511240014004210
6422534022452
754456154013
oct13736007400
94117788345
101601703680
11752135755
123884a7a28
131c6ab1375
14112a1937a
1595938d05
hex5f780f00

1601703680 has 144 divisors (see below), whose sum is σ = 3955875840. Its totient is φ = 621121536.

The previous prime is 1601703641. The next prime is 1601703703. The reversal of 1601703680 is 863071061.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 9590957 + ... + 9591123.

It is an arithmetic number, because the mean of its divisors is an integer number (27471360).

Almost surely, 21601703680 is an apocalyptic number.

1601703680 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 1601703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977937920).

1601703680 is an abundant number, since it is smaller than the sum of its proper divisors (2354172160).

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

1601703680 is a wasteful number, since it uses less digits than its factorization.

1601703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1601703680 is about 40021.2903340210. The cubic root of 1601703680 is about 1170.0220805729.

The spelling of 1601703680 in words is "one billion, six hundred one million, seven hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 127 128 160 167 236 254 256 295 320 334 472 508 590 635 640 668 835 944 1016 1180 1270 1280 1336 1670 1888 2032 2360 2540 2672 3340 3776 4064 4720 5080 5344 6680 7493 7552 8128 9440 9853 10160 10688 13360 14986 15104 16256 18880 19706 20320 21209 21376 26720 29972 32512 37465 37760 39412 40640 42418 42752 49265 53440 59944 74930 75520 78824 81280 84836 98530 106045 106880 119888 149860 157648 162560 169672 197060 212090 213760 239776 299720 315296 339344 394120 424180 479552 599440 630592 678688 788240 848360 959104 1198880 1251331 1261184 1357376 1576480 1696720 1918208 2397760 2502662 2522368 2714752 3152960 3393440 4795520 5005324 5429504 6256655 6305920 6786880 9591040 10010648 12513310 12611840 13573760 20021296 25026620 27147520 40042592 50053240 80085184 100106480 160170368 200212960 320340736 400425920 800851840 1601703680