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1940640 = 253513311
BaseRepresentation
bin111011001110010100000
310122121001120
413121302200
5444100030
6105332240
722331562
oct7316240
93577046
101940640
111106039
12797080
1352c410
14387332
15285010
hex1d9ca0

1940640 has 96 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 476160.

The previous prime is 1940639. The next prime is 1940663. The reversal of 1940640 is 460491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1940640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6085 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

21940640 is an apocalyptic number.

1940640 is a gapful number since it is divisible by the number (10) 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 1940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

1940640 is an abundant number, since it is smaller than the sum of its proper divisors (4663776).

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

1940640 is a wasteful number, since it uses less digits than its factorization.

1940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1940640 is about 1393.0685553841. The cubic root of 1940640 is about 124.7330837849.

The spelling of 1940640 in words is "one million, nine hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 311 312 390 416 480 520 622 624 780 933 1040 1244 1248 1555 1560 1866 2080 2488 3110 3120 3732 4043 4665 4976 6220 6240 7464 8086 9330 9952 12129 12440 14928 16172 18660 20215 24258 24880 29856 32344 37320 40430 48516 49760 60645 64688 74640 80860 97032 121290 129376 149280 161720 194064 242580 323440 388128 485160 646880 970320 1940640