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16157680 = 2457114361
BaseRepresentation
bin111101101000…
…101111110000
31010101220011121
4331220233300
513114021210
61334152024
7254223640
oct75505760
933356147
1016157680
119136560
1254b2614
133469576
142208520
1516426da
hexf68bf0

16157680 has 160 divisors (see below), whose sum is σ = 48711168. Its totient is φ = 4838400.

The previous prime is 16157639. The next prime is 16157699. The reversal of 16157680 is 8675161.

It is a super-2 number, since 2×161576802 = 522141245964800, which contains 22 as substring.

It is a congruent number.

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, 264850 + ... + 264910.

Almost surely, 216157680 is an apocalyptic number.

16157680 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 16157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355584).

16157680 is an abundant number, since it is smaller than the sum of its proper divisors (32553488).

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

16157680 is a wasteful number, since it uses less digits than its factorization.

16157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 16157680 is about 4019.6616773057. The cubic root of 16157680 is about 252.8092736811.

The spelling of 16157680 in words is "sixteen million, one hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 43 44 55 56 61 70 77 80 86 88 110 112 122 140 154 172 176 215 220 244 280 301 305 308 344 385 427 430 440 473 488 560 602 610 616 671 688 770 854 860 880 946 976 1204 1220 1232 1342 1505 1540 1708 1720 1892 2135 2365 2408 2440 2623 2684 3010 3080 3311 3355 3416 3440 3784 4270 4697 4730 4816 4880 5246 5368 6020 6160 6622 6710 6832 7568 8540 9394 9460 10492 10736 12040 13115 13244 13420 16555 17080 18361 18788 18920 20984 23485 24080 26230 26488 26840 28853 33110 34160 36722 37576 37840 41968 46970 52460 52976 53680 57706 66220 73444 75152 91805 93940 104920 115412 132440 144265 146888 183610 187880 201971 209840 230824 264880 288530 293776 367220 375760 403942 461648 577060 734440 807884 1009855 1154120 1468880 1615768 2019710 2308240 3231536 4039420 8078840 16157680