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5899680 = 2532517241
BaseRepresentation
bin10110100000010110100000
3102002201211200
4112200112200
53002242210
6330241200
7101101143
oct26402640
912081750
105899680
11336a576
121b86200
1312b7447
14ad805a
157b80c0
hex5a05a0

5899680 has 144 divisors (see below), whose sum is σ = 21405384. Its totient is φ = 1474560.

The previous prime is 5899669. The next prime is 5899681. The reversal of 5899680 is 869985.

5899680 is a `hidden beast` number, since 589 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 197136 = 2388^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5899681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24360 + ... + 24600.

Almost surely, 25899680 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 5899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702692).

5899680 is an abundant number, since it is smaller than the sum of its proper divisors (15505704).

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

5899680 is a wasteful number, since it uses less digits than its factorization.

5899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5899680 is about 2428.9256884475. The cubic root of 5899680 is about 180.6936200367.

The spelling of 5899680 in words is "five million, eight hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 241 255 272 288 306 340 360 408 480 482 510 544 612 680 720 723 765 816 964 1020 1205 1224 1360 1440 1446 1530 1632 1928 2040 2169 2410 2448 2720 2892 3060 3615 3856 4080 4097 4338 4820 4896 5784 6120 7230 7712 8160 8194 8676 9640 10845 11568 12240 12291 14460 16388 17352 19280 20485 21690 23136 24480 24582 28920 32776 34704 36873 38560 40970 43380 49164 57840 61455 65552 69408 73746 81940 86760 98328 115680 122910 131104 147492 163880 173520 184365 196656 245820 294984 327760 347040 368730 393312 491640 589968 655520 737460 983280 1179936 1474920 1966560 2949840 5899680