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23460840 = 2334513557
BaseRepresentation
bin101100101111…
…1101111101000
31122010221020000
41121133233220
522001221330
62154503000
7403261644
oct131375750
948127200
1023460840
1112274527
127a34a60
134b25770
143189c24
1520d6560
hex165fbe8

23460840 has 160 divisors (see below), whose sum is σ = 85072680. Its totient is φ = 5764608.

The previous prime is 23460823. The next prime is 23460841. The reversal of 23460840 is 4806432.

It can be written as a sum of positive squares in 4 ways, for example, as 9036036 + 14424804 = 3006^2 + 3798^2 .

It is a super-2 number, since 2×234608402 = 1100822027011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23460841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41842 + ... + 42398.

Almost surely, 223460840 is an apocalyptic number.

23460840 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 23460840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536340).

23460840 is an abundant number, since it is smaller than the sum of its proper divisors (61611840).

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

23460840 is a wasteful number, since it uses less digits than its factorization.

23460840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23460840 is about 4843.6391277633. The cubic root of 23460840 is about 286.2735251414.

The spelling of 23460840 in words is "twenty-three million, four hundred sixty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 557 585 648 702 780 810 936 1053 1080 1114 1170 1404 1560 1620 1671 1755 2106 2228 2340 2785 2808 3240 3342 3510 4212 4456 4680 5013 5265 5570 6684 7020 7241 8355 8424 10026 10530 11140 13368 14040 14482 15039 16710 20052 21060 21723 22280 25065 28964 30078 33420 36205 40104 42120 43446 45117 50130 57928 60156 65169 66840 72410 75195 86892 90234 100260 108615 120312 130338 144820 150390 173784 180468 195507 200520 217230 225585 260676 289640 300780 325845 360936 391014 434460 451170 521352 586521 601560 651690 782028 868920 902340 977535 1173042 1303380 1564056 1804680 1955070 2346084 2606760 2932605 3910140 4692168 5865210 7820280 11730420 23460840