Search a number
-
+
23855240760 = 23351373209477
BaseRepresentation
bin10110001101111000…
…100001011000111000
32021120111211210100120
4112031320201120320
5342323420201020
614543044333240
71503104125611
oct261570413070
967514753316
1023855240760
11a13173050a
1247590a4220
1323323139a0
141224316c08
15949449740
hex58de21638

23855240760 has 128 divisors (see below), whose sum is σ = 78126914880. Its totient is φ = 5791592448.

The previous prime is 23855240729. The next prime is 23855240861. The reversal of 23855240760 is 6704255832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9142 + ... + 218618.

Almost surely, 223855240760 is an apocalyptic number.

23855240760 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 23855240760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39063457440).

23855240760 is an abundant number, since it is smaller than the sum of its proper divisors (54271674120).

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

23855240760 is a wasteful number, since it uses less digits than its factorization.

23855240760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209577 (or 209573 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 23855240760 in words is "twenty-three billion, eight hundred fifty-five million, two hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 73 78 104 120 130 146 156 195 219 260 292 312 365 390 438 520 584 730 780 876 949 1095 1460 1560 1752 1898 2190 2847 2920 3796 4380 4745 5694 7592 8760 9490 11388 14235 18980 22776 28470 37960 56940 113880 209477 418954 628431 837908 1047385 1256862 1675816 2094770 2513724 2723201 3142155 4189540 5027448 5446402 6284310 8169603 8379080 10892804 12568620 13616005 15291821 16339206 21785608 25137240 27232010 30583642 32678412 40848015 45875463 54464020 61167284 65356824 76459105 81696030 91750926 108928040 122334568 152918210 163392060 183501852 198793673 229377315 305836420 326784120 367003704 397587346 458754630 596381019 611672840 795174692 917509260 993968365 1192762038 1590349384 1835018520 1987936730 2385524076 2981905095 3975873460 4771048152 5963810190 7951746920 11927620380 23855240760