Search a number
-
+
615930414 = 231123972137
BaseRepresentation
bin100100101101100…
…101101000101110
31120220222111200120
4210231211220232
52230134233124
6141041305410
721156215331
oct4455455056
91526874616
10615930414
11296749700
12152335266
139a7b5888
145bb32618
1539117d79
hex24b65a2e

615930414 has 48 divisors (see below), whose sum is σ = 1358074704. Its totient is φ = 186088320.

The previous prime is 615930401. The next prime is 615930457. The reversal of 615930414 is 414039516.

615930414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6159304142 = 758740549780422792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287154 + ... + 289290.

It is an arithmetic number, because the mean of its divisors is an integer number (28293223).

Almost surely, 2615930414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 615930414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679037352).

615930414 is an abundant number, since it is smaller than the sum of its proper divisors (742144290).

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

615930414 is a wasteful number, since it uses less digits than its factorization.

615930414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 615930414 is about 24817.9454024704. The cubic root of 615930414 is about 850.8321327287.

The spelling of 615930414 in words is "six hundred fifteen million, nine hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 397 726 794 1191 2137 2382 4274 4367 6411 8734 12822 13101 23507 26202 47014 48037 70521 96074 141042 144111 258577 288222 517154 775731 848389 1551462 1696778 2545167 5090334 9332279 18664558 27996837 55993674 102655069 205310138 307965207 615930414