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1057770240 = 2835275461
BaseRepresentation
bin111111000011000…
…100101100000000
32201201101021222120
4333003010230000
54131242121430
6252543404240
735132620152
oct7703045400
92651337876
101057770240
114a30a148a
122562b3680
1313b1b6267
14a06a8ad2
1562ce3610
hex3f0c4b00

1057770240 has 72 divisors (see below), whose sum is σ = 3378265968. Its totient is φ = 282071040.

The previous prime is 1057770229. The next prime is 1057770281. The reversal of 1057770240 is 420777501.

It is a happy number.

It is a super-2 number, since 2×10577702402 = 2237755761259315200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133891 + ... + 141570.

Almost surely, 21057770240 is an apocalyptic number.

1057770240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057770240 is an abundant number, since it is smaller than the sum of its proper divisors (2320495728).

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

1057770240 is an equidigital number, since it uses as much as digits as its factorization.

1057770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275485 (or 275471 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 1057770240 is about 32523.3798981594. The cubic root of 1057770240 is about 1018.8973859804.

The spelling of 1057770240 in words is "one billion, fifty-seven million, seven hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 275461 550922 826383 1101844 1377305 1652766 2203688 2754610 3305532 4131915 4407376 5509220 6611064 8263830 8814752 11018440 13222128 16527660 17629504 22036880 26444256 33055320 35259008 44073760 52888512 66110640 70518016 88147520 105777024 132221280 176295040 211554048 264442560 352590080 528885120 1057770240