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23000273040 = 2435467205213
BaseRepresentation
bin10101011010111011…
…000101000010010000
32012100221001221010110
4111122323011002100
5334101032214130
614322143401320
71442653044423
oct253273050220
965327057113
1023000273040
119833066618
12455a8b3240
132227156524
14118295d9ba
158e9365ab0
hex55aec5090

23000273040 has 80 divisors (see below), whose sum is σ = 71453873088. Its totient is φ = 6120242688.

The previous prime is 23000273003. The next prime is 23000273041. The reversal of 23000273040 is 4037200032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 23000272998 and 23000273016.

It is not an unprimeable number, because it can be changed into a prime (23000273041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9474 + ... + 214686.

Almost surely, 223000273040 is an apocalyptic number.

23000273040 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 23000273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35726936544).

23000273040 is an abundant number, since it is smaller than the sum of its proper divisors (48453600048).

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

23000273040 is a wasteful number, since it uses less digits than its factorization.

23000273040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205696 (or 205690 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

Adding to 23000273040 its reverse (4037200032), we get a palindrome (27037473072).

The spelling of 23000273040 in words is "twenty-three billion, two hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467 934 1401 1868 2335 2802 3736 4670 5604 7005 7472 9340 11208 14010 18680 22416 28020 37360 56040 112080 205213 410426 615639 820852 1026065 1231278 1641704 2052130 2462556 3078195 3283408 4104260 4925112 6156390 8208520 9850224 12312780 16417040 24625560 49251120 95834471 191668942 287503413 383337884 479172355 575006826 766675768 958344710 1150013652 1437517065 1533351536 1916689420 2300027304 2875034130 3833378840 4600054608 5750068260 7666757680 11500136520 23000273040