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9971040 = 253520773
BaseRepresentation
bin100110000010…
…010101100000
3200202120200210
4212002111200
510023033130
6553414120
7150516042
oct46022540
920676623
109971040
1156a0432
12340a340
1320b1631
141477a92
15d1e5b0
hex982560

9971040 has 48 divisors (see below), whose sum is σ = 31410288. Its totient is φ = 2658816.

The previous prime is 9971033. The next prime is 9971047. The reversal of 9971040 is 401799.

It is an interprime number because it is at equal distance from previous prime (9971033) and next prime (9971047).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 9970989 and 9971007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9907 + ... + 10866.

It is an arithmetic number, because the mean of its divisors is an integer number (654381).

Almost surely, 29971040 is an apocalyptic number.

It is an amenable number.

9971040 is an abundant number, since it is smaller than the sum of its proper divisors (21439248).

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

9971040 is a wasteful number, since it uses less digits than its factorization.

9971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20791 (or 20783 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 9971040 is about 3157.6953621273. The cubic root of 9971040 is about 215.2352931525.

The spelling of 9971040 in words is "nine million, nine hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20773 41546 62319 83092 103865 124638 166184 207730 249276 311595 332368 415460 498552 623190 664736 830920 997104 1246380 1661840 1994208 2492760 3323680 4985520 9971040