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1076465140 = 225192832803
BaseRepresentation
bin100000000101001…
…1000110111110100
32210000120002120021
41000022120313310
54201033341030
6254452214524
735450542222
oct10012306764
92700502507
101076465140
11502700213
1226060a444
1314203062a
14a2d73b12
156478797a
hex40298df4

1076465140 has 24 divisors (see below), whose sum is σ = 2379555360. Its totient is φ = 407923488.

The previous prime is 1076465119. The next prime is 1076465147. The reversal of 1076465140 is 415646701.

It is a junction number, because it is equal to n+sod(n) for n = 1076465096 and 1076465105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076465147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1416022 + ... + 1416781.

It is an arithmetic number, because the mean of its divisors is an integer number (99148140).

Almost surely, 21076465140 is an apocalyptic number.

1076465140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076465140 is an abundant number, since it is smaller than the sum of its proper divisors (1303090220).

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

1076465140 is a wasteful number, since it uses less digits than its factorization.

1076465140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832831 (or 2832829 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1076465140 is about 32809.5281892319. The cubic root of 1076465140 is about 1024.8649879677.

The spelling of 1076465140 in words is "one billion, seventy-six million, four hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 2832803 5665606 11331212 14164015 28328030 53823257 56656060 107646514 215293028 269116285 538232570 1076465140