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20258240 = 265293759
BaseRepresentation
bin100110101000…
…1110111000000
31102010020002012
41031101313000
520141230430
62002112052
7334122632
oct115216700
942106065
1020258240
1110487352
12694b628
134273b32
142994a52
151ba2695
hex1351dc0

20258240 has 112 divisors (see below), whose sum is σ = 52120800. Its totient is φ = 7483392.

The previous prime is 20258213. The next prime is 20258261. The reversal of 20258240 is 4285202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343331 + ... + 343389.

Almost surely, 220258240 is an apocalyptic number.

20258240 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 20258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26060400).

20258240 is an abundant number, since it is smaller than the sum of its proper divisors (31862560).

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

20258240 is a wasteful number, since it uses less digits than its factorization.

20258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 20258240 is about 4500.9154624365. The cubic root of 20258240 is about 272.6050544637.

The spelling of 20258240 in words is "twenty million, two hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 59 64 74 80 116 118 145 148 160 185 232 236 290 295 296 320 370 464 472 580 590 592 740 928 944 1073 1160 1180 1184 1480 1711 1856 1888 2146 2183 2320 2360 2368 2960 3422 3776 4292 4366 4640 4720 5365 5920 6844 8555 8584 8732 9280 9440 10730 10915 11840 13688 17110 17168 17464 18880 21460 21830 27376 34220 34336 34928 42920 43660 54752 63307 68440 68672 69856 85840 87320 109504 126614 136880 139712 171680 174640 253228 273760 316535 343360 349280 506456 547520 633070 698560 1012912 1266140 2025824 2532280 4051648 5064560 10129120 20258240