Search a number
-
+
72670480 = 245908381
BaseRepresentation
bin1000101010011…
…01110100010000
312001202001011021
410111031310100
5122100423410
611113325224
71541455201
oct425156420
9161661137
1072670480
1138025453
1220406814
13120951ac
1499195a8
1565a6eda
hex454dd10

72670480 has 20 divisors (see below), whose sum is σ = 168959052. Its totient is φ = 29068160.

The previous prime is 72670469. The next prime is 72670487. The reversal of 72670480 is 8407627.

It can be written as a sum of positive squares in 2 ways, for example, as 33131536 + 39538944 = 5756^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (72670487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454111 + ... + 454270.

Almost surely, 272670480 is an apocalyptic number.

It is an amenable number.

72670480 is an abundant number, since it is smaller than the sum of its proper divisors (96288572).

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

72670480 is a wasteful number, since it uses less digits than its factorization.

72670480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908394 (or 908388 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 72670480 is about 8524.6982351283. The cubic root of 72670480 is about 417.3041236371.

The spelling of 72670480 in words is "seventy-two million, six hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 908381 1816762 3633524 4541905 7267048 9083810 14534096 18167620 36335240 72670480