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2157015120 = 2435132293019
BaseRepresentation
bin1000000010010001…
…0111000001010000
312120022210201110220
42000210113001100
513404143440440
6554012153040
7104311216551
oct20044270120
95508721426
102157015120
11a07640427
12502468780
13284b61310
1416668c328
15c957a8d0
hex80917050

2157015120 has 160 divisors (see below), whose sum is σ = 7234953600. Its totient is φ = 528463872.

The previous prime is 2157015089. The next prime is 2157015121. The reversal of 2157015120 is 215107512.

It is a super-2 number, since 2×21570151202 = 9305428455817228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157015121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712971 + ... + 715989.

It is an arithmetic number, because the mean of its divisors is an integer number (45218460).

Almost surely, 22157015120 is an apocalyptic number.

2157015120 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 2157015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617476800).

2157015120 is an abundant number, since it is smaller than the sum of its proper divisors (5077938480).

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

2157015120 is a wasteful number, since it uses less digits than its factorization.

2157015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 2157015120 is about 46443.6768570276. The cubic root of 2157015120 is about 1292.0651016600.

The spelling of 2157015120 in words is "two billion, one hundred fifty-seven million, fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 229 240 260 312 390 458 520 624 687 780 916 1040 1145 1374 1560 1832 2290 2748 2977 3019 3120 3435 3664 4580 5496 5954 6038 6870 8931 9057 9160 10992 11908 12076 13740 14885 15095 17862 18114 18320 23816 24152 27480 29770 30190 35724 36228 39247 44655 45285 47632 48304 54960 59540 60380 71448 72456 78494 89310 90570 117741 119080 120760 142896 144912 156988 178620 181140 196235 235482 238160 241520 313976 357240 362280 392470 470964 588705 627952 691351 714480 724560 784940 941928 1177410 1382702 1569880 1883856 2074053 2354820 2765404 3139760 3456755 4148106 4709640 5530808 6913510 8296212 8987563 9419280 10370265 11061616 13827020 16592424 17975126 20740530 26962689 27654040 33184848 35950252 41481060 44937815 53925378 55308080 71900504 82962120 89875630 107850756 134813445 143801008 165924240 179751260 215701512 269626890 359502520 431403024 539253780 719005040 1078507560 2157015120