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1679676240 = 243511636241
BaseRepresentation
bin110010000011101…
…1101001101010000
311100001121101122010
41210013131031100
511414444114430
6434401142520
756424004164
oct14407351520
94301541563
101679676240
11792151690
123aa62aa40
13209cb1988
1411d114ca4
159c6dbcb0
hex641dd350

1679676240 has 80 divisors (see below), whose sum is σ = 5680368576. Its totient is φ = 407193600.

The previous prime is 1679676239. The next prime is 1679676241. The reversal of 1679676240 is 426769761.

It is an interprime number because it is at equal distance from previous prime (1679676239) and next prime (1679676241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1679676240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679676241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315481 + ... + 320760.

Almost surely, 21679676240 is an apocalyptic number.

1679676240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1679676240 is an abundant number, since it is smaller than the sum of its proper divisors (4000692336).

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

1679676240 is a wasteful number, since it uses less digits than its factorization.

1679676240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636268 (or 636262 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 1679676240 is about 40983.8534059451. The cubic root of 1679676240 is about 1188.7080204016.

The spelling of 1679676240 in words is "one billion, six hundred seventy-nine million, six hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 636241 1272482 1908723 2544964 3181205 3817446 5089928 6362410 6998651 7634892 9543615 10179856 12724820 13997302 15269784 19087230 20995953 25449640 27994604 30539568 34993255 38174460 41991906 50899280 55989208 69986510 76348920 83983812 104979765 111978416 139973020 152697840 167967624 209959530 279946040 335935248 419919060 559892080 839838120 1679676240