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2150578020 = 2235107457733
BaseRepresentation
bin1000000000101111…
…0011011101100100
312112212200200102210
42000023303131210
513401021444040
6553222203420
7104202416523
oct20013633544
95485620383
102150578020
11a03a44108
12500283570
13283719396
141658944ba
15c8c08480
hex802f3764

2150578020 has 96 divisors (see below), whose sum is σ = 6099504768. Its totient is φ = 566111232.

The previous prime is 2150578007. The next prime is 2150578037. The reversal of 2150578020 is 208750512.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2933574 + ... + 2934306.

It is an arithmetic number, because the mean of its divisors is an integer number (63536508).

Almost surely, 22150578020 is an apocalyptic number.

2150578020 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 2150578020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049752384).

2150578020 is an abundant number, since it is smaller than the sum of its proper divisors (3948926748).

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

2150578020 is a wasteful number, since it uses less digits than its factorization.

2150578020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 2150578020 is about 46374.3250085648. The cubic root of 2150578020 is about 1290.7785337147.

The spelling of 2150578020 in words is "two billion, one hundred fifty million, five hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 457 535 642 733 914 1070 1284 1371 1466 1605 1828 2140 2199 2285 2742 2932 3210 3665 4398 4570 5484 6420 6855 7330 8796 9140 10995 13710 14660 21990 27420 43980 48899 78431 97798 146697 156862 195596 235293 244495 293394 313724 334981 392155 470586 488990 586788 669962 733485 784310 941172 977980 1004943 1176465 1339924 1466970 1568620 1674905 2009886 2352930 2933940 3349810 4019772 4705860 5024715 6699620 10049430 20098860 35842967 71685934 107528901 143371868 179214835 215057802 358429670 430115604 537644505 716859340 1075289010 2150578020