Search a number
-
+
236013696 = 2733471453
BaseRepresentation
bin11100001000101…
…00100010000000
3121110002201221000
432010110202000
5440404414241
635230332000
75564040402
oct1604244200
9543081830
10236013696
11111250646
126705a000
1339b86599
14234b8b72
1515abeeb6
hexe114880

236013696 has 128 divisors (see below), whose sum is σ = 711878400. Its totient is φ = 76944384.

The previous prime is 236013689. The next prime is 236013749. The reversal of 236013696 is 696310632.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 236013696.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161706 + ... + 163158.

It is an arithmetic number, because the mean of its divisors is an integer number (5561550).

Almost surely, 2236013696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 236013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355939200).

236013696 is an abundant number, since it is smaller than the sum of its proper divisors (475864704).

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

236013696 is a wasteful number, since it uses less digits than its factorization.

236013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 236013696 is about 15362.7372561012. The cubic root of 236013696 is about 617.9866148482.

The spelling of 236013696 in words is "two hundred thirty-six million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 282 288 376 384 423 432 564 576 752 846 864 1128 1152 1269 1453 1504 1692 1728 2256 2538 2906 3008 3384 3456 4359 4512 5076 5812 6016 6768 8718 9024 10152 11624 13077 13536 17436 18048 20304 23248 26154 27072 34872 39231 40608 46496 52308 54144 68291 69744 78462 81216 92992 104616 136582 139488 156924 162432 185984 204873 209232 273164 278976 313848 409746 418464 546328 557952 614619 627696 819492 836928 1092656 1229238 1255392 1638984 1673856 1843857 2185312 2458476 2510784 3277968 3687714 4370624 4916952 5021568 6555936 7375428 8741248 9833904 13111872 14750856 19667808 26223744 29501712 39335616 59003424 78671232 118006848 236013696