Search a number
-
+
272630440 = 23519973413
BaseRepresentation
bin10000010000000…
…000001010101000
3201000000001122201
4100100000022220
51024243133230
643015225544
76520214635
oct2020001250
9630001581
10272630440
1112a990315
12773782b4
13446371b4
14282cb18c
1518e045ca
hex104002a8

272630440 has 32 divisors (see below), whose sum is σ = 613905480. Its totient is φ = 108965632.

The previous prime is 272630419. The next prime is 272630447. The reversal of 272630440 is 44036272.

It can be written as a sum of positive squares in 4 ways, for example, as 208918116 + 63712324 = 14454^2 + 7982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 272630399 and 272630408.

It is not an unprimeable number, because it can be changed into a prime (272630447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78174 + ... + 81586.

Almost surely, 2272630440 is an apocalyptic number.

272630440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272630440 is an abundant number, since it is smaller than the sum of its proper divisors (341275040).

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

272630440 is a wasteful number, since it uses less digits than its factorization.

272630440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 272630440 is about 16511.5244602066. The cubic root of 272630440 is about 648.4225575480.

The spelling of 272630440 in words is "two hundred seventy-two million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1997 3413 3994 6826 7988 9985 13652 15976 17065 19970 27304 34130 39940 68260 79880 136520 6815761 13631522 27263044 34078805 54526088 68157610 136315220 272630440