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2157840 = 2436537
BaseRepresentation
bin1000001110110100010000
311001122000000
420032310100
51023022330
6114130000
724225036
oct10166420
94048000
102157840
111244243
12880900
135a7239
14402556
152c9560
hex20ed10

2157840 has 140 divisors (see below), whose sum is σ = 7725324. Its totient is φ = 559872.

The previous prime is 2157839. The next prime is 2157851. The reversal of 2157840 is 487512.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 746496 = 1188^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58302 + ... + 58338.

22157840 is an apocalyptic number.

2157840 is a gapful number since it is divisible by the number (20) 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 2157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862662).

2157840 is an abundant number, since it is smaller than the sum of its proper divisors (5567484).

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

2157840 is an equidigital number, since it uses as much as digits as its factorization.

2157840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2157840 is about 1468.9588149434. The cubic root of 2157840 is about 129.2229783372. Note that the first 3 decimals are identical.

The spelling of 2157840 in words is "two million, one hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 81 90 108 111 120 135 144 148 162 180 185 216 222 240 243 270 296 324 333 360 370 405 432 444 486 540 555 592 648 666 720 729 740 810 888 972 999 1080 1110 1215 1296 1332 1458 1480 1620 1665 1776 1944 1998 2160 2220 2430 2664 2916 2960 2997 3240 3330 3645 3888 3996 4440 4860 4995 5328 5832 5994 6480 6660 7290 7992 8880 8991 9720 9990 11664 11988 13320 14580 14985 15984 17982 19440 19980 23976 26640 26973 29160 29970 35964 39960 44955 47952 53946 58320 59940 71928 79920 89910 107892 119880 134865 143856 179820 215784 239760 269730 359640 431568 539460 719280 1078920 2157840