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1390752 = 253211439
BaseRepresentation
bin101010011100010100000
32121122202100
411103202200
5324001002
645450400
714551446
oct5234240
92548670
101390752
1186a990
12570a00
1339903c
14282b96
151c711c
hex1538a0

1390752 has 72 divisors (see below), whose sum is σ = 4324320. Its totient is φ = 420480.

The previous prime is 1390733. The next prime is 1390757. The reversal of 1390752 is 2570931.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13907522 = 3868382251008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949 + ... + 3387.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

21390752 is an apocalyptic number.

1390752 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 1390752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162160).

1390752 is an abundant number, since it is smaller than the sum of its proper divisors (2933568).

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

1390752 is a wasteful number, since it uses less digits than its factorization.

1390752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1390752 is about 1179.3014881700. The cubic root of 1390752 is about 111.6220251746.

The spelling of 1390752 in words is "one million, three hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 439 528 792 878 1056 1317 1584 1756 2634 3168 3512 3951 4829 5268 7024 7902 9658 10536 14048 14487 15804 19316 21072 28974 31608 38632 42144 43461 57948 63216 77264 86922 115896 126432 154528 173844 231792 347688 463584 695376 1390752