Search a number
-
+
23532363840 = 263535968281
BaseRepresentation
bin10101111010101000…
…110110000001000000
32020202000021221111010
4111322220312001000
5341143241120330
614451032120520
71462103535516
oct257250660100
966660257433
1023532363840
119a86451287
124688b36140
1322b046615b
1411d34aa4b6
1592ae1c3b0
hex57aa36040

23532363840 has 112 divisors (see below), whose sum is σ = 74924472960. Its totient is φ = 6257725440.

The previous prime is 23532363839. The next prime is 23532363847. The reversal of 23532363840 is 4836323532.

It is not an unprimeable number, because it can be changed into a prime (23532363847) 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, 310500 + ... + 378780.

Almost surely, 223532363840 is an apocalyptic number.

23532363840 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 23532363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37462236480).

23532363840 is an abundant number, since it is smaller than the sum of its proper divisors (51392109120).

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

23532363840 is a wasteful number, since it uses less digits than its factorization.

23532363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68660 (or 68650 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 23532363840 in words is "twenty-three billion, five hundred thirty-two million, three hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 359 480 718 960 1077 1436 1795 2154 2872 3590 4308 5385 5744 7180 8616 10770 11488 14360 17232 21540 22976 28720 34464 43080 57440 68281 68928 86160 114880 136562 172320 204843 273124 341405 344640 409686 546248 682810 819372 1024215 1092496 1365620 1638744 2048430 2184992 2731240 3277488 4096860 4369984 5462480 6554976 8193720 10924960 13109952 16387440 21849920 24512879 32774880 49025758 65549760 73538637 98051516 122564395 147077274 196103032 245128790 294154548 367693185 392206064 490257580 588309096 735386370 784412128 980515160 1176618192 1470772740 1568824256 1961030320 2353236384 2941545480 3922060640 4706472768 5883090960 7844121280 11766181920 23532363840