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5975040 = 21035389
BaseRepresentation
bin10110110010110000000000
3102020120012210
4112302300000
53012200130
6332022120
7101533641
oct26626000
912216183
105975040
113411155
122001940
131312836
14b176c8
157d05b0
hex5b2c00

5975040 has 88 divisors (see below), whose sum is σ = 19159920. Its totient is φ = 1589248.

The previous prime is 5975029. The next prime is 5975051. The reversal of 5975040 is 405795.

It is an interprime number because it is at equal distance from previous prime (5975029) and next prime (5975051).

It is a super-2 number, since 2×59750402 = 71402206003200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5974989 and 5975007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15166 + ... + 15554.

Almost surely, 25975040 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 5975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579960).

5975040 is an abundant number, since it is smaller than the sum of its proper divisors (13184880).

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

5975040 is a wasteful number, since it uses less digits than its factorization.

5975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 5975040 is about 2444.3894943319. The cubic root of 5975040 is about 181.4597350139.

The spelling of 5975040 in words is "five million, nine hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 389 480 512 640 768 778 960 1024 1167 1280 1536 1556 1920 1945 2334 2560 3072 3112 3840 3890 4668 5120 5835 6224 7680 7780 9336 11670 12448 15360 15560 18672 23340 24896 31120 37344 46680 49792 62240 74688 93360 99584 124480 149376 186720 199168 248960 298752 373440 398336 497920 597504 746880 995840 1195008 1493760 1991680 2987520 5975040