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1957422240 = 25335453107
BaseRepresentation
bin111010010101011…
…1110010010100000
312001102020100112000
41310222332102200
513002100002430
6522122204000
766335546244
oct16452762240
95042210460
101957422240
11914a06334
12467653600
132526ba417
14147d74424
15b6ca1e60
hex74abe4a0

1957422240 has 96 divisors (see below), whose sum is σ = 6850992960. Its totient is φ = 521978112.

The previous prime is 1957422223. The next prime is 1957422281. The reversal of 1957422240 is 422247591.

1957422240 is a `hidden beast` number, since 195 + 7 + 422 + 2 + 40 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1957422195 and 1957422204.

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, 222234 + ... + 230873.

It is an arithmetic number, because the mean of its divisors is an integer number (71364510).

Almost surely, 21957422240 is an apocalyptic number.

1957422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1957422240 is an abundant number, since it is smaller than the sum of its proper divisors (4893570720).

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

1957422240 is a wasteful number, since it uses less digits than its factorization.

1957422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453131 (or 453117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1957422240 is about 44242.7648322299. The cubic root of 1957422240 is about 1250.9160730175.

It can be divided in two parts, 19574 and 22240, that added together give a palindrome (41814).

The spelling of 1957422240 in words is "one billion, nine hundred fifty-seven million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 453107 906214 1359321 1812428 2265535 2718642 3624856 4077963 4531070 5437284 6796605 7249712 8155926 9062140 10874568 12233889 13593210 14499424 16311852 18124280 20389815 21749136 24467778 27186420 32623704 36248560 40779630 43498272 48935556 54372840 61169445 65247408 72497120 81559260 97871112 108745680 122338890 130494816 163118520 195742224 217491360 244677780 326237040 391484448 489355560 652474080 978711120 1957422240