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15093420 = 22351072351
BaseRepresentation
bin111001100100…
…111010101100
31001101211021120
4321210322230
512330442140
61255300540
7242202066
oct71447254
931354246
1015093420
118579a01
12507a750
133186024
14200c736
1514d21d0
hexe64eac

15093420 has 48 divisors (see below), whose sum is σ = 42674688. Its totient is φ = 3985600.

The previous prime is 15093401. The next prime is 15093461. The reversal of 15093420 is 2439051.

It is a super-2 number, since 2×150934202 = 455622654592800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5245 + ... + 7595.

It is an arithmetic number, because the mean of its divisors is an integer number (889056).

Almost surely, 215093420 is an apocalyptic number.

15093420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15093420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344).

15093420 is an abundant number, since it is smaller than the sum of its proper divisors (27581268).

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

15093420 is a wasteful number, since it uses less digits than its factorization.

15093420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 15093420 is about 3885.0250964440. The cubic root of 15093420 is about 247.1321338399.

The spelling of 15093420 in words is "fifteen million, ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 2351 3210 4702 6420 7053 9404 11755 14106 23510 28212 35265 47020 70530 141060 251557 503114 754671 1006228 1257785 1509342 2515570 3018684 3773355 5031140 7546710 15093420