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2159362080 = 2532513111447
BaseRepresentation
bin1000000010110101…
…0100000000100000
312120111012221220100
42000231110000200
513410244041310
6554134342400
7104340163161
oct20055240040
95514187810
102159362080
11a089a3767
125031baa00
132854a3655
14166add768
15c9890ec0
hex80b54020

2159362080 has 144 divisors (see below), whose sum is σ = 7425722304. Its totient is φ = 571384320.

The previous prime is 2159362067. The next prime is 2159362097. The reversal of 2159362080 is 802639512.

2159362080 is a `hidden beast` number, since 2 + 1 + 593 + 62 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182917 + ... + 194363.

It is an arithmetic number, because the mean of its divisors is an integer number (51567516).

Almost surely, 22159362080 is an apocalyptic number.

2159362080 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 2159362080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712861152).

2159362080 is an abundant number, since it is smaller than the sum of its proper divisors (5266360224).

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

2159362080 is a wasteful number, since it uses less digits than its factorization.

2159362080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11599 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2159362080 is about 46468.9367212119. The cubic root of 2159362080 is about 1292.5335462138.

The spelling of 2159362080 in words is "two billion, one hundred fifty-nine million, three hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 360 393 480 524 655 720 786 1048 1179 1310 1440 1572 1965 2096 2358 2620 3144 3930 4192 4716 5240 5895 6288 7860 9432 10480 11447 11790 12576 15720 18864 20960 22894 23580 31440 34341 37728 45788 47160 57235 62880 68682 91576 94320 103023 114470 137364 171705 183152 188640 206046 228940 274728 343410 366304 412092 457880 515115 549456 686820 824184 915760 1030230 1098912 1373640 1499557 1648368 1831520 2060460 2747280 2999114 3296736 4120920 4498671 5494560 5998228 7497785 8241840 8997342 11996456 13496013 14995570 16483680 17994684 22493355 23992912 26992026 29991140 35989368 44986710 47985824 53984052 59982280 67480065 71978736 89973420 107968104 119964560 134960130 143957472 179946840 215936208 239929120 269920260 359893680 431872416 539840520 719787360 1079681040 2159362080