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1960224 = 25372917
BaseRepresentation
bin111011110100100100000
310200120220220
413132210200
51000211344
6110003040
722442640
oct7364440
93616826
101960224
111119822
127a6480
135382c6
14390520
1528ac19
hex1de920

1960224 has 48 divisors (see below), whose sum is σ = 5882688. Its totient is φ = 559872.

The previous prime is 1960213. The next prime is 1960237. The reversal of 1960224 is 4220691.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1960194 and 1960203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787 + ... + 2130.

It is an arithmetic number, because the mean of its divisors is an integer number (122556).

21960224 is an apocalyptic number.

1960224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1960224 is an abundant number, since it is smaller than the sum of its proper divisors (3922464).

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

1960224 is a wasteful number, since it uses less digits than its factorization.

1960224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1960224 is about 1400.0799977144. The cubic root of 1960224 is about 125.1512622174.

The spelling of 1960224 in words is "one million, nine hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2917 5834 8751 11668 17502 20419 23336 35004 40838 46672 61257 70008 81676 93344 122514 140016 163352 245028 280032 326704 490056 653408 980112 1960224