Search a number
-
+
840454680 = 233513836491
BaseRepresentation
bin110010000110000…
…101001000011000
32011120110112002010
4302012011020120
53210124022210
6215221505520
726553514122
oct6206051030
92146415063
10840454680
113a146204a
121b55722a0
13105178680
147d89a212
154dbb8920
hex32185218

840454680 has 128 divisors (see below), whose sum is σ = 2748453120. Its totient is φ = 204357120.

The previous prime is 840454673. The next prime is 840454691. The reversal of 840454680 is 86454048.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 126235 + ... + 132725.

It is an arithmetic number, because the mean of its divisors is an integer number (21472290).

Almost surely, 2840454680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840454680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374226560).

840454680 is an abundant number, since it is smaller than the sum of its proper divisors (1907998440).

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

840454680 is a wasteful number, since it uses less digits than its factorization.

840454680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 840454680 is about 28990.5964064212. The cubic root of 840454680 is about 943.7090067132.

The spelling of 840454680 in words is "eight hundred forty million, four hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 195 249 260 312 332 390 415 498 520 664 780 830 996 1079 1245 1560 1660 1992 2158 2490 3237 3320 4316 4980 5395 6474 6491 8632 9960 10790 12948 12982 16185 19473 21580 25896 25964 32370 32455 38946 43160 51928 64740 64910 77892 84383 97365 129480 129820 155784 168766 194730 253149 259640 337532 389460 421915 506298 538753 675064 778920 843830 1012596 1077506 1265745 1616259 1687660 2025192 2155012 2531490 2693765 3232518 3375320 4310024 5062980 5387530 6465036 7003789 8081295 10125960 10775060 12930072 14007578 16162590 21011367 21550120 28015156 32325180 35018945 42022734 56030312 64650360 70037890 84045468 105056835 140075780 168090936 210113670 280151560 420227340 840454680