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5191680 = 21135132
BaseRepresentation
bin10011110011100000000000
3100202202122110
4103303200000
52312113210
6303135320
762062044
oct23634000
910682573
105191680
112a2664a
1218a4540
1310ca100
14992024
156c8420
hex4f3800

5191680 has 144 divisors (see below), whose sum is σ = 17985240. Its totient is φ = 1277952.

The previous prime is 5191673. The next prime is 5191699. The reversal of 5191680 is 861915.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 399354 + ... + 399366.

Almost surely, 25191680 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 5191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992620).

5191680 is an abundant number, since it is smaller than the sum of its proper divisors (12793560).

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

5191680 is a wasteful number, since it uses less digits than its factorization.

5191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 5191680 is about 2278.5258392215. The cubic root of 5191680 is about 173.1553729070.

Multiplying 5191680 by its sum of digits (30), we get a square (155750400 = 124802).

5191680 divided by its sum of digits (30) gives a square (173056 = 4162).

The spelling of 5191680 in words is "five million, one hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 256 260 312 320 338 384 390 416 480 507 512 520 624 640 676 768 780 832 845 960 1014 1024 1040 1248 1280 1352 1536 1560 1664 1690 1920 2028 2048 2080 2496 2535 2560 2704 3072 3120 3328 3380 3840 4056 4160 4992 5070 5120 5408 6144 6240 6656 6760 7680 8112 8320 9984 10140 10240 10816 12480 13312 13520 15360 16224 16640 19968 20280 21632 24960 26624 27040 30720 32448 33280 39936 40560 43264 49920 54080 64896 66560 79872 81120 86528 99840 108160 129792 133120 162240 173056 199680 216320 259584 324480 346112 399360 432640 519168 648960 865280 1038336 1297920 1730560 2595840 5191680