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707799040 = 2115132409
BaseRepresentation
bin101010001100000…
…010100000000000
31211022211220202021
4222030002200000
52422144032130
6154122331224
723353123024
oct5214024000
91738756667
10707799040
11333596993
12179059b14
13b3840200
146a008384
154221337a
hex2a302800

707799040 has 144 divisors (see below), whose sum is σ = 1843487100. Its totient is φ = 260702208.

The previous prime is 707798989. The next prime is 707799073. The reversal of 707799040 is 40997707.

It can be written as a sum of positive squares in 6 ways, for example, as 204604416 + 503194624 = 14304^2 + 22432^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1730356 + ... + 1730764.

Almost surely, 2707799040 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 707799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921743550).

707799040 is an abundant number, since it is smaller than the sum of its proper divisors (1135688060).

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

707799040 is a wasteful number, since it uses less digits than its factorization.

707799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 43.

The square root of 707799040 is about 26604.4928536516. The cubic root of 707799040 is about 891.1893538004.

The spelling of 707799040 in words is "seven hundred seven million, seven hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 208 256 260 320 338 409 416 512 520 640 676 818 832 845 1024 1040 1280 1352 1636 1664 1690 2045 2048 2080 2560 2704 3272 3328 3380 4090 4160 5120 5317 5408 6544 6656 6760 8180 8320 10240 10634 10816 13088 13312 13520 16360 16640 21268 21632 26176 26585 26624 27040 32720 33280 42536 43264 52352 53170 54080 65440 66560 69121 85072 86528 104704 106340 108160 130880 133120 138242 170144 173056 209408 212680 216320 261760 276484 340288 345605 346112 418816 425360 432640 523520 552968 680576 691210 837632 850720 865280 1047040 1105936 1361152 1382420 1701440 1730560 2094080 2211872 2722304 2764840 3402880 4188160 4423744 5444608 5529680 6805760 8847488 10889216 11059360 13611520 17694976 22118720 27223040 35389952 44237440 54446080 70779904 88474880 141559808 176949760 353899520 707799040