Search a number
-
+
2494907190 = 233570913033
BaseRepresentation
bin1001010010110101…
…0100001100110110
320102212121102021000
42110231110030312
520102144012230
61051322304130
7115553234616
oct22455241466
96385542230
102494907190
111070345776
12597658046
13309b68359
141994c6a46
15e9071b60
hex94b54336

2494907190 has 64 divisors (see below), whose sum is σ = 6662980800. Its totient is φ = 664319232.

The previous prime is 2494907167. The next prime is 2494907201. The reversal of 2494907190 is 917094942.

It is a happy number.

2494907190 is a `hidden beast` number, since 2 + 4 + 9 + 490 + 71 + 90 = 666.

It is a super-2 number, since 2×24949071902 = 12449123773427392200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184914 + ... + 197946.

It is an arithmetic number, because the mean of its divisors is an integer number (104109075).

Almost surely, 22494907190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2494907190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331490400).

2494907190 is an abundant number, since it is smaller than the sum of its proper divisors (4168073610).

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

2494907190 is a wasteful number, since it uses less digits than its factorization.

2494907190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13758 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2494907190 is about 49949.0459368345. The cubic root of 2494907190 is about 1356.2865809044.

The spelling of 2494907190 in words is "two billion, four hundred ninety-four million, nine hundred seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 709 1418 2127 3545 4254 6381 7090 10635 12762 13033 19143 21270 26066 31905 38286 39099 63810 65165 78198 95715 117297 130330 191430 195495 234594 351891 390990 586485 703782 1172970 1759455 3518910 9240397 18480794 27721191 46201985 55442382 83163573 92403970 138605955 166327146 249490719 277211910 415817865 498981438 831635730 1247453595 2494907190