Search a number
-
+
2420134956 = 2233191179403
BaseRepresentation
bin1001000001000000…
…0101010000101100
320020122220121001000
42100100011100230
514424023304311
61040051520300
7113654544021
oct22020052054
96218817030
102420134956
111032115238
125765b9090
132c7518625
1418d5c1548
15e2702056
hex9040542c

2420134956 has 48 divisors (see below), whose sum is σ = 6604662400. Its totient is φ = 764252496.

The previous prime is 2420134949. The next prime is 2420134963. The reversal of 2420134956 is 6594310242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2420134949) and next prime (2420134963).

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 2420134956.

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, 587650 + ... + 591753.

Almost surely, 22420134956 is an apocalyptic number.

It is an amenable number.

2420134956 is an abundant number, since it is smaller than the sum of its proper divisors (4184527444).

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

2420134956 is a wasteful number, since it uses less digits than its factorization.

2420134956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179435 (or 1179427 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2420134956 is about 49194.8671712812. The cubic root of 2420134956 is about 1342.5996455484.

The spelling of 2420134956 in words is "two billion, four hundred twenty million, one hundred thirty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 1179403 2358806 3538209 4717612 7076418 10614627 14152836 21229254 22408657 31843881 42458508 44817314 63687762 67225971 89634628 127375524 134451942 201677913 268903884 403355826 605033739 806711652 1210067478 2420134956