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1516676070 = 2357134311289
BaseRepresentation
bin101101001100110…
…1010001111100110
310220200220010102210
41122121222033212
511101232113240
6410255344250
752404351060
oct13231521746
93820803383
101516676070
117091401a8
12363b22086
131b22b0780
14105604730
158d240780
hex5a66a3e6

1516676070 has 128 divisors (see below), whose sum is σ = 4493905920. Its totient is φ = 319011840.

The previous prime is 1516676033. The next prime is 1516676071. The reversal of 1516676070 is 706766151.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516676071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175986 + ... + 1177274.

It is an arithmetic number, because the mean of its divisors is an integer number (35108640).

Almost surely, 21516676070 is an apocalyptic number.

1516676070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516676070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246952960).

1516676070 is an abundant number, since it is smaller than the sum of its proper divisors (2977229850).

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

1516676070 is a wasteful number, since it uses less digits than its factorization.

1516676070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750.

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 1516676070 is about 38944.5255459609. The cubic root of 1516676070 is about 1148.9406930904.

The spelling of 1516676070 in words is "one billion, five hundred sixteen million, six hundred seventy-six thousand, seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 431 455 546 862 910 1289 1293 1365 2155 2578 2586 2730 3017 3867 4310 5603 6034 6445 6465 7734 9023 9051 11206 12890 12930 15085 16757 16809 18046 18102 19335 27069 28015 30170 33514 33618 38670 39221 45115 45255 50271 54138 56030 78442 83785 84045 90230 90510 100542 117299 117663 135345 167570 168090 196105 234598 235326 251355 270690 351897 392210 502710 555559 586495 588315 703794 1111118 1172990 1176630 1666677 1759485 2777795 3333354 3518970 3888913 5555590 7222267 7777826 8333385 11666739 14444534 16666770 19444565 21666801 23333478 36111335 38889130 43333602 50555869 58333695 72222670 101111738 108334005 116667390 151667607 216668010 252779345 303335214 505558690 758338035 1516676070