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2092047960 = 233541597207
BaseRepresentation
bin111110010110010…
…0001111001011000
312101210120001021210
41330230201321120
513241031013320
6543331503120
7102562054122
oct17454417130
95353501253
102092047960
119839a7662
124a4757aa0
13274565502
1415bbba212
15c39e60e0
hex7cb21e58

2092047960 has 128 divisors (see below), whose sum is σ = 6539097600. Its totient is φ = 534973440.

The previous prime is 2092047949. The next prime is 2092047983. The reversal of 2092047960 is 697402902.

2092047960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286677 + ... + 293883.

It is an arithmetic number, because the mean of its divisors is an integer number (51086700).

Almost surely, 22092047960 is an apocalyptic number.

2092047960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2092047960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269548800).

2092047960 is an abundant number, since it is smaller than the sum of its proper divisors (4447049640).

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

2092047960 is a wasteful number, since it uses less digits than its factorization.

2092047960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2092047960 is about 45738.9107872061. The cubic root of 2092047960 is about 1278.9607368289.

The spelling of 2092047960 in words is "two billion, ninety-two million, forty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 59 60 82 118 120 123 164 177 205 236 246 295 328 354 410 472 492 590 615 708 820 885 984 1180 1230 1416 1640 1770 2360 2419 2460 3540 4838 4920 7080 7207 7257 9676 12095 14414 14514 19352 21621 24190 28828 29028 36035 36285 43242 48380 57656 58056 72070 72570 86484 96760 108105 144140 145140 172968 216210 288280 290280 295487 425213 432420 590974 850426 864840 886461 1181948 1275639 1477435 1700852 1772922 2126065 2363896 2551278 2954870 3401704 3545844 4252130 4432305 5102556 5909740 6378195 7091688 8504260 8864610 10205112 11819480 12756390 17008520 17433733 17729220 25512780 34867466 35458440 51025560 52301199 69734932 87168665 104602398 139469864 174337330 209204796 261505995 348674660 418409592 523011990 697349320 1046023980 2092047960