Search a number
-
+
94720192 = 2671712437
BaseRepresentation
bin1011010010101…
…01000011000000
320121020021200021
411221111003000
5143222021232
613222103224
72230052110
oct551250300
9217207607
1094720192
1149515756
122787ab14
1316815568
14c819040
1584b0397
hex5a550c0

94720192 has 56 divisors (see below), whose sum is σ = 227466144. Its totient is φ = 38203392.

The previous prime is 94720189. The next prime is 94720211. The reversal of 94720192 is 29102749.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1398 + ... + 13834.

Almost surely, 294720192 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 94720192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113733072).

94720192 is an abundant number, since it is smaller than the sum of its proper divisors (132745952).

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

94720192 is a wasteful number, since it uses less digits than its factorization.

94720192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 94720192 is about 9732.4299124114. The cubic root of 94720192 is about 455.8418452252.

The spelling of 94720192 in words is "ninety-four million, seven hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 12437 24874 49748 87059 99496 174118 198992 211429 348236 397984 422858 696472 795968 845716 1392944 1480003 1691432 2785888 2960006 3382864 5571776 5920012 6765728 11840024 13531456 23680048 47360096 94720192