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1960992 = 253211619
BaseRepresentation
bin111011110110000100000
310200121222100
413132300200
51000222432
6110010400
722445115
oct7366040
93617870
101960992
11111a360
127a6a00
13538767
1439090c
1528b07c
hex1dec20

1960992 has 72 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 593280.

The previous prime is 1960991. The next prime is 1960993. The reversal of 1960992 is 2990691.

It is an interprime number because it is at equal distance from previous prime (1960991) and next prime (1960993).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1960991) 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, 2859 + ... + 3477.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

21960992 is an apocalyptic number.

1960992 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 1960992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

1960992 is an abundant number, since it is smaller than the sum of its proper divisors (4132368).

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

1960992 is a wasteful number, since it uses less digits than its factorization.

1960992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1960992 is about 1400.3542408976. The cubic root of 1960992 is about 125.1676045027.

It can be divided in two parts, 19609 and 92, that added together give a triangular number (19701 = T198).

The spelling of 1960992 in words is "one million, nine hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 619 792 1056 1238 1584 1857 2476 3168 3714 4952 5571 6809 7428 9904 11142 13618 14856 19808 20427 22284 27236 29712 40854 44568 54472 59424 61281 81708 89136 108944 122562 163416 178272 217888 245124 326832 490248 653664 980496 1960992