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20058240 = 273531337
BaseRepresentation
bin100110010000…
…1000010000000
31101202001201210
41030201002000
520113330430
61553530120
7332330556
oct114410200
941661653
1020058240
1110360064
126873940
134203aa7
142941bd6
151b632b0
hex1321080

20058240 has 128 divisors (see below), whose sum is σ = 66193920. Its totient is φ = 5160960.

The previous prime is 20058223. The next prime is 20058257. The reversal of 20058240 is 4285002.

It is an interprime number because it is at equal distance from previous prime (20058223) and next prime (20058257).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59352 + ... + 59688.

It is an arithmetic number, because the mean of its divisors is an integer number (517140).

Almost surely, 220058240 is an apocalyptic number.

20058240 is a gapful number since it is divisible by the number (20) 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 20058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096960).

20058240 is an abundant number, since it is smaller than the sum of its proper divisors (46135680).

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

20058240 is a wasteful number, since it uses less digits than its factorization.

20058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 20058240 is about 4478.6426515184. The cubic root of 20058240 is about 271.7049857917.

The spelling of 20058240 in words is "twenty million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 337 372 384 465 480 496 620 640 674 744 930 960 992 1011 1240 1348 1488 1685 1860 1920 1984 2022 2480 2696 2976 3370 3720 3968 4044 4960 5055 5392 5952 6740 7440 8088 9920 10110 10447 10784 11904 13480 14880 16176 19840 20220 20894 21568 26960 29760 31341 32352 40440 41788 43136 52235 53920 59520 62682 64704 80880 83576 104470 107840 125364 129408 156705 161760 167152 208940 215680 250728 313410 323520 334304 417880 501456 626820 647040 668608 835760 1002912 1253640 1337216 1671520 2005824 2507280 3343040 4011648 5014560 6686080 10029120 20058240