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15074940 = 2235435843
BaseRepresentation
bin111001100000…
…011001111100
31001100212221010
4321200121330
512324344230
61255035220
7242064156
oct71403174
931325833
1015074940
118567031
12506bb10
13317a7aa
142005ad6
1514cb9b0
hexe6067c

15074940 has 48 divisors (see below), whose sum is σ = 43198848. Its totient is φ = 3925824.

The previous prime is 15074929. The next prime is 15074951. The reversal of 15074940 is 4947051.

It is a happy number.

15074940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15074929) and next prime (15074951).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 15074898 and 15074907.

It is a congruent number.

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, 342 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (899976).

Almost surely, 215074940 is an apocalyptic number.

15074940 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 15074940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599424).

15074940 is an abundant number, since it is smaller than the sum of its proper divisors (28123908).

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

15074940 is a wasteful number, since it uses less digits than its factorization.

15074940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 15074940 is about 3882.6460049817. The cubic root of 15074940 is about 247.0312318793.

The spelling of 15074940 in words is "fifteen million, seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 5843 11686 17529 23372 29215 35058 58430 70116 87645 116860 175290 251249 350580 502498 753747 1004996 1256245 1507494 2512490 3014988 3768735 5024980 7537470 15074940