Search a number
-
+
115713414 = 23323151617
BaseRepresentation
bin1101110010110…
…10010110000110
322001201211222000
412321122112012
5214110312124
615252050130
72603355615
oct671322606
9261654860
10115713414
115a354223
1232903946
131ac85a9b
141152187c
15a25a6c9
hex6e5a586

115713414 has 64 divisors (see below), whose sum is σ = 270535680. Its totient is φ = 36590400.

The previous prime is 115713413. The next prime is 115713427. The reversal of 115713414 is 414317511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115713413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187234 + ... + 187850.

It is an arithmetic number, because the mean of its divisors is an integer number (4227120).

Almost surely, 2115713414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115713414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135267840).

115713414 is an abundant number, since it is smaller than the sum of its proper divisors (154822266).

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

115713414 is a wasteful number, since it uses less digits than its factorization.

115713414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 115713414 is about 10757.0169656834. The cubic root of 115713414 is about 487.2979328234.

The spelling of 115713414 in words is "one hundred fifteen million, seven hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 151 207 302 414 453 617 621 906 1234 1242 1359 1851 2718 3473 3702 4077 5553 6946 8154 10419 11106 14191 16659 20838 28382 31257 33318 42573 62514 85146 93167 93771 127719 186334 187542 255438 279501 383157 559002 766314 838503 1677006 2142841 2515509 4285682 5031018 6428523 12857046 19285569 38571138 57856707 115713414