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2075091372 = 223423212107
BaseRepresentation
bin111101110101111…
…0110000110101100
312100121122120020000
41323223312012230
513222210410442
6541524224300
7102264662034
oct17353660654
95317576200
102075091372
11975375952
1249ab3b090
13270ba9423
141598448c4
15c2296d4c
hex7baf61ac

2075091372 has 90 divisors (see below), whose sum is σ = 5671278228. Its totient is φ = 661568688.

The previous prime is 2075091329. The next prime is 2075091391. The reversal of 2075091372 is 2731905702.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 165343 + ... + 177449.

Almost surely, 22075091372 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 2075091372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835639114).

2075091372 is an abundant number, since it is smaller than the sum of its proper divisors (3596186856).

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

2075091372 is a wasteful number, since it uses less digits than its factorization.

2075091372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169 (or 12135 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2075091372 is about 45553.1708226771. The cubic root of 2075091372 is about 1275.4959233439.

The spelling of 2075091372 in words is "two billion, seventy-five million, ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1242 1587 1863 2116 2484 3174 3726 4761 6348 7452 9522 12107 14283 19044 24214 28566 36321 42849 48428 57132 72642 85698 108963 145284 171396 217926 278461 326889 435852 556922 653778 835383 980667 1113844 1307556 1670766 1961334 2506149 3341532 3922668 5012298 6404603 7518447 10024596 12809206 15036894 19213809 22555341 25618412 30073788 38427618 45110682 57641427 76855236 90221364 115282854 172924281 230565708 345848562 518772843 691697124 1037545686 2075091372