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997056840 = 2335132292791
BaseRepresentation
bin111011011011011…
…110000101001000
32120111010201212010
4323123132011020
54020221304330
6242534215520
733464562153
oct7333360510
92514121763
10997056840
114718a361a
12239ab45a0
1312b749680
14965c2c9a
155c7ee3b0
hex3b6de148

997056840 has 128 divisors (see below), whose sum is σ = 3236486400. Its totient is φ = 244270080.

The previous prime is 997056821. The next prime is 997056883. The reversal of 997056840 is 48650799.

997056840 is a nontrivial binomial coefficient, being equal to C(44656, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 997056840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355845 + ... + 358635.

It is an arithmetic number, because the mean of its divisors is an integer number (25285050).

Almost surely, 2997056840 is an apocalyptic number.

997056840 is the 44655-th triangular number and also the 22328-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997056840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618243200).

997056840 is an abundant number, since it is smaller than the sum of its proper divisors (2239429560).

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

997056840 is a wasteful number, since it uses less digits than its factorization.

997056840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 997056840 is about 31576.2068652965. The cubic root of 997056840 is about 999.0179826242.

The spelling of 997056840 in words is "nine hundred ninety-seven million, fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 229 260 312 390 458 520 687 780 916 1145 1374 1560 1832 2290 2748 2791 2977 3435 4580 5496 5582 5954 6870 8373 8931 9160 11164 11908 13740 13955 14885 16746 17862 22328 23816 27480 27910 29770 33492 35724 36283 41865 44655 55820 59540 66984 71448 72566 83730 89310 108849 111640 119080 145132 167460 178620 181415 217698 290264 334920 357240 362830 435396 544245 639139 725660 870792 1088490 1278278 1451320 1917417 2176980 2556556 3195695 3834834 4353960 5113112 6391390 7669668 8308807 9587085 12782780 15339336 16617614 19174170 24926421 25565560 33235228 38348340 41544035 49852842 66470456 76696680 83088070 99705684 124632105 166176140 199411368 249264210 332352280 498528420 997056840