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60871680 = 2103251321
BaseRepresentation
bin1110100000110…
…1010000000000
311020112121020200
43220031100000
5111040343210
610012405200
71336254312
oct350152000
9136477220
1060871680
11313a6881
1218476800
13c7c395c
1481277b2
1555260c0
hex3a0d400

60871680 has 132 divisors (see below), whose sum is σ = 211078452. Its totient is φ = 16220160.

The previous prime is 60871669. The next prime is 60871691. The reversal of 60871680 is 8617806.

It is an interprime number because it is at equal distance from previous prime (60871669) and next prime (60871691).

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 19501056 = 6432^2 + 4416^2 .

It is a super-2 number, since 2×608716802 = 7410722852044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45420 + ... + 46740.

Almost surely, 260871680 is an apocalyptic number.

60871680 is a gapful number since it is divisible by the number (60) 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 60871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105539226).

60871680 is an abundant number, since it is smaller than the sum of its proper divisors (150206772).

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

60871680 is a wasteful number, since it uses less digits than its factorization.

60871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 60871680 is about 7802.0305049391. The cubic root of 60871680 is about 393.3734964893.

The spelling of 60871680 in words is "sixty million, eight hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1321 1440 1536 1920 2304 2560 2642 2880 3072 3840 3963 4608 5120 5284 5760 6605 7680 7926 9216 10568 11520 11889 13210 15360 15852 19815 21136 23040 23778 26420 31704 39630 42272 46080 47556 52840 59445 63408 79260 84544 95112 105680 118890 126816 158520 169088 190224 211360 237780 253632 317040 338176 380448 422720 475560 507264 634080 676352 760896 845440 951120 1014528 1268160 1352704 1521792 1690880 1902240 2029056 2536320 3043584 3381760 3804480 4058112 5072640 6087168 6763520 7608960 10145280 12174336 15217920 20290560 30435840 60871680