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2152756380 = 2235353101641
BaseRepresentation
bin1000000001010000…
…0111010010011100
312120000210100120210
42000110013102130
513402101201010
6553341012420
7104230061445
oct20024072234
95500710523
102152756380
11a051a1805
12500b54110
13283ccca58
14165ca02cc
15c8ed8b20
hex8050749c

2152756380 has 48 divisors (see below), whose sum is σ = 6044853024. Its totient is φ = 572436480.

The previous prime is 2152756363. The next prime is 2152756381. The reversal of 2152756380 is 836572512.

2152756380 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152756381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29641 + ... + 72000.

It is an arithmetic number, because the mean of its divisors is an integer number (125934438).

Almost surely, 22152756380 is an apocalyptic number.

2152756380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152756380 is an abundant number, since it is smaller than the sum of its proper divisors (3892096644).

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

2152756380 is a wasteful number, since it uses less digits than its factorization.

2152756380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102006 (or 102004 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2152756380 is about 46397.8057670834. The cubic root of 2152756380 is about 1291.2142044145.

The spelling of 2152756380 in words is "two billion, one hundred fifty-two million, seven hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 353 706 1059 1412 1765 2118 3530 4236 5295 7060 10590 21180 101641 203282 304923 406564 508205 609846 1016410 1219692 1524615 2032820 3049230 6098460 35879273 71758546 107637819 143517092 179396365 215275638 358792730 430551276 538189095 717585460 1076378190 2152756380