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10031392 = 257192357
BaseRepresentation
bin100110010001…
…000100100000
3200212122111001
4212101010200
510032001032
6555001344
7151160020
oct46210440
920778431
1010031392
115731808
123439254
132102c47
141491a80
15d323e7
hex991120

10031392 has 48 divisors (see below), whose sum is σ = 23768640. Its totient is φ = 4071168.

The previous prime is 10031369. The next prime is 10031407. The reversal of 10031392 is 29313001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3078 + ... + 5434.

It is an arithmetic number, because the mean of its divisors is an integer number (495180).

Almost surely, 210031392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11884320).

10031392 is an abundant number, since it is smaller than the sum of its proper divisors (13737248).

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

10031392 is a wasteful number, since it uses less digits than its factorization.

10031392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 10031392 is about 3167.2372819225. The cubic root of 10031392 is about 215.6686735592.

Adding to 10031392 its reverse (29313001), we get a palindrome (39344393).

The spelling of 10031392 in words is "ten million, thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2357 4256 4714 9428 16499 18856 32998 37712 44783 65996 75424 89566 131992 179132 263984 313481 358264 527968 626962 716528 1253924 1433056 2507848 5015696 10031392