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790405380 = 2232541107101
BaseRepresentation
bin101111000111001…
…010000100000100
32001002021202100100
4233013022010010
53104320433010
6210233044100
725405222602
oct5707120404
92032252310
10790405380
11376188296
121a0856630
13c79a39bb
1476d8c872
15495ce2c0
hex2f1ca104

790405380 has 72 divisors (see below), whose sum is σ = 2456063064. Its totient is φ = 205632000.

The previous prime is 790405379. The next prime is 790405387. The reversal of 790405380 is 83504097.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 736471044 = 7344^2 + 27138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (790405387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46171 + ... + 60930.

It is an arithmetic number, because the mean of its divisors is an integer number (34111987).

Almost surely, 2790405380 is an apocalyptic number.

It is an amenable number.

790405380 is an abundant number, since it is smaller than the sum of its proper divisors (1665657684).

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

790405380 is a wasteful number, since it uses less digits than its factorization.

790405380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107157 (or 107152 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 790405380 is about 28114.1491068110. The cubic root of 790405380 is about 924.5916405420.

The spelling of 790405380 in words is "seven hundred ninety million, four hundred five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 107101 214202 321303 428404 535505 642606 963909 1071010 1285212 1606515 1927818 2142020 3213030 3855636 4391141 4819545 6426060 8782282 9639090 13173423 17564564 19278180 21955705 26346846 39520269 43911410 52693692 65867115 79040538 87822820 131734230 158081076 197601345 263468460 395202690 790405380