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23506680 = 2335317189
BaseRepresentation
bin101100110101…
…0111011111000
31122020021002210
41121222323320
522004203210
62155455120
7403542411
oct131527370
948207083
1023506680
11122a5a0a
127a574a0
134b405a2
14319c808
1520e4e20
hex166aef8

23506680 has 128 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 5913600.

The previous prime is 23506663. The next prime is 23506697. The reversal of 23506680 is 8660532.

It is an interprime number because it is at equal distance from previous prime (23506663) and next prime (23506697).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 264076 + ... + 264164.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 223506680 is an apocalyptic number.

23506680 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 23506680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

23506680 is an abundant number, since it is smaller than the sum of its proper divisors (51142920).

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

23506680 is a wasteful number, since it uses less digits than its factorization.

23506680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 23506680 is about 4848.3687978536. The cubic root of 23506680 is about 286.4598532356.

The spelling of 23506680 in words is "twenty-three million, five hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 71 89 93 120 124 142 155 178 186 213 248 267 284 310 355 356 372 426 445 465 534 568 620 710 712 744 852 890 930 1065 1068 1240 1335 1420 1704 1780 1860 2130 2136 2201 2670 2759 2840 3560 3720 4260 4402 5340 5518 6319 6603 8277 8520 8804 10680 11005 11036 12638 13206 13795 16554 17608 18957 22010 22072 25276 26412 27590 31595 33015 33108 37914 41385 44020 50552 52824 55180 63190 66030 66216 75828 82770 88040 94785 110360 126380 132060 151656 165540 189570 195889 252760 264120 331080 379140 391778 587667 758280 783556 979445 1175334 1567112 1958890 2350668 2938335 3917780 4701336 5876670 7835560 11753340 23506680