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842037840 = 243257167071
BaseRepresentation
bin110010001100000…
…111101001010000
32011200102221202200
4302030013221100
53211030202330
6215315443200
726603126550
oct6214075120
92150387680
10842037840
113a2343546
121b5bb6500
131055b1157
147db8d160
154ddcca60
hex32307a50

842037840 has 120 divisors (see below), whose sum is σ = 3231840768. Its totient is φ = 192464640.

The previous prime is 842037821. The next prime is 842037857. The reversal of 842037840 is 48730248.

842037840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 842037795 and 842037804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78496 + ... + 88575.

Almost surely, 2842037840 is an apocalyptic number.

842037840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842037840 is an abundant number, since it is smaller than the sum of its proper divisors (2389802928).

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

842037840 is a wasteful number, since it uses less digits than its factorization.

842037840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167097 (or 167088 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 842037840 is about 29017.8882760273. Note that the first 3 decimals coincide. The cubic root of 842037840 is about 944.3011882472.

The spelling of 842037840 in words is "eight hundred forty-two million, thirty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 167071 334142 501213 668284 835355 1002426 1169497 1336568 1503639 1670710 2004852 2338994 2506065 2673136 3007278 3341420 3508491 4009704 4677988 5012130 5847485 6014556 6682840 7016982 7518195 8019408 9355976 10024260 10525473 11694970 12029112 13365680 14033964 15036390 17542455 18711952 20048520 21050946 23389940 24058224 28067928 30072780 35084910 40097040 42101892 46779880 52627365 56135856 60145560 70169820 84203784 93559760 105254730 120291120 140339640 168407568 210509460 280679280 421018920 842037840