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5901480 = 2332513297
BaseRepresentation
bin10110100000110010101000
3102002211022100
4112200302220
53002321410
6330253400
7101106324
oct26406250
912084270
105901480
113370962
121b87260
1312b8200
14ad8984
157b88c0
hex5a0ca8

5901480 has 144 divisors (see below), whose sum is σ = 20982780. Its totient is φ = 1437696.

The previous prime is 5901437. The next prime is 5901481. The reversal of 5901480 is 841095.

It can be written as a sum of positive squares in 6 ways, for example, as 509796 + 5391684 = 714^2 + 2322^2 .

It is not an unprimeable number, because it can be changed into a prime (5901481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60792 + ... + 60888.

Almost surely, 25901480 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 5901480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10491390).

5901480 is an abundant number, since it is smaller than the sum of its proper divisors (15081300).

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

5901480 is a wasteful number, since it uses less digits than its factorization.

5901480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5901480 is about 2429.2961943740. The cubic root of 5901480 is about 180.7119947872.

The spelling of 5901480 in words is "five million, nine hundred one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 97 104 117 120 130 156 169 180 194 195 234 260 291 312 338 360 388 390 468 485 507 520 582 585 676 776 780 845 873 936 970 1014 1164 1170 1261 1352 1455 1521 1560 1690 1746 1940 2028 2328 2340 2522 2535 2910 3042 3380 3492 3783 3880 4056 4365 4680 5044 5070 5820 6084 6305 6760 6984 7566 7605 8730 10088 10140 11349 11640 12168 12610 15132 15210 16393 17460 18915 20280 22698 25220 30264 30420 32786 34920 37830 45396 49179 50440 56745 60840 65572 75660 81965 90792 98358 113490 131144 147537 151320 163930 196716 226980 245895 295074 327860 393432 453960 491790 590148 655720 737685 983580 1180296 1475370 1967160 2950740 5901480