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10074384 = 2432431627
BaseRepresentation
bin100110011011…
…100100010000
3200221211110100
4212123210100
510034340014
6555532400
7151426245
oct46334420
920854410
1010074384
115761041
12345a100
132119698
1414a35cc
15d40009
hex99b910

10074384 has 60 divisors (see below), whose sum is σ = 28867696. Its totient is φ = 3278016.

The previous prime is 10074377. The next prime is 10074401. The reversal of 10074384 is 48347001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5379 + ... + 7005.

Almost surely, 210074384 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 10074384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433848).

10074384 is an abundant number, since it is smaller than the sum of its proper divisors (18793312).

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

10074384 is a wasteful number, since it uses less digits than its factorization.

10074384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10074384 is about 3174.0170131869. The cubic root of 10074384 is about 215.9763348559.

The spelling of 10074384 in words is "ten million, seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1627 2064 3096 3254 4881 6192 6508 9762 13016 14643 19524 26032 29286 39048 58572 69961 78096 117144 139922 209883 234288 279844 419766 559688 629649 839532 1119376 1259298 1679064 2518596 3358128 5037192 10074384