Search a number
-
+
2707972245 = 32511171916937
BaseRepresentation
bin1010000101101000…
…0110000010010101
320222201112020120100
42201122012002111
521021220102440
61124413124313
7124051245546
oct24132060225
96881466510
102707972245
11116a6416a0
12636a89699
13342048354
141b990a4cd
1510cb0c230
hexa1686095

2707972245 has 96 divisors (see below), whose sum is σ = 5707428480. Its totient is φ = 1170616320.

The previous prime is 2707972217. The next prime is 2707972247. The reversal of 2707972245 is 5422797072.

2707972245 is a `hidden beast` number, since 270 + 79 + 72 + 245 = 666.

It is not a de Polignac number, because 2707972245 - 25 = 2707972213 is a prime.

It is a super-2 number, since 2×27079722452 = 14666227359380680050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2707972245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2707972247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151417 + ... + 168353.

It is an arithmetic number, because the mean of its divisors is an integer number (59452380).

Almost surely, 22707972245 is an apocalyptic number.

It is an amenable number.

2707972245 is an abundant number, since it is smaller than the sum of its proper divisors (2999456235).

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

2707972245 is a wasteful number, since it uses less digits than its factorization.

2707972245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16995 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 2707972245 is about 52038.1806465215. The cubic root of 2707972245 is about 1393.8458175930.

The spelling of 2707972245 in words is "two billion, seven hundred seven million, nine hundred seventy-two thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 17 19 33 45 51 55 57 85 95 99 153 165 171 187 209 255 285 323 495 561 627 765 855 935 969 1045 1615 1683 1881 2805 2907 3135 3553 4845 8415 9405 10659 14535 16937 17765 31977 50811 53295 84685 152433 159885 186307 254055 287929 321803 558921 762165 863787 931535 965409 1439645 1609015 1676763 2591361 2794605 2896227 3167219 3539833 4318935 4827045 5470651 8383815 9501657 10619499 12956805 14481135 15836095 16411953 17699165 27353255 28504971 31858497 47508285 49235859 53097495 60177161 82059765 142524855 159292485 180531483 246179295 300885805 541594449 902657415 2707972245