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1014972 = 223743281
BaseRepresentation
bin11110111110010111100
31220120021120
43313302330
5224434342
633430540
711425050
oct3676274
91816246
101014972
11633622
1240b450
13296c9a
141c5c60
15150aec
hexf7cbc

1014972 has 48 divisors (see below), whose sum is σ = 2779392. Its totient is φ = 282240.

The previous prime is 1014953. The next prime is 1014973. The reversal of 1014972 is 2794101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3472 + ... + 3752.

It is an arithmetic number, because the mean of its divisors is an integer number (57904).

21014972 is an apocalyptic number.

1014972 is a gapful number since it is divisible by the number (12) 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 1014972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389696).

1014972 is an abundant number, since it is smaller than the sum of its proper divisors (1764420).

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

1014972 is a wasteful number, since it uses less digits than its factorization.

1014972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1014972 is about 1007.4581877180. The cubic root of 1014972 is about 100.4965965036.

The spelling of 1014972 in words is "one million, fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 281 301 516 562 602 843 903 1124 1204 1686 1806 1967 3372 3612 3934 5901 7868 11802 12083 23604 24166 36249 48332 72498 84581 144996 169162 253743 338324 507486 1014972