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1076468736 = 21037113443
BaseRepresentation
bin100000000101001…
…1001110000000000
32210000120021111110
41000022121300000
54201033444421
6254452243320
735450555550
oct10012316000
92700507443
101076468736
11502702992
12260610540
13142032165
14a2d75160
1564788a76
hex40299c00

1076468736 has 176 divisors, whose sum is σ = 3315550464. Its totient is φ = 304152576.

The previous prime is 1076468717. The next prime is 1076468737. The reversal of 1076468736 is 6378646701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076468737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2429731 + ... + 2430173.

Almost surely, 21076468736 is an apocalyptic number.

1076468736 is a gapful number since it is divisible by the number (16) 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 1076468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657775232).

1076468736 is an abundant number, since it is smaller than the sum of its proper divisors (2239081728).

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

1076468736 is a wasteful number, since it uses less digits than its factorization.

1076468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 1076468736 is about 32809.5829903399. The cubic root of 1076468736 is about 1024.8661291752.

The spelling of 1076468736 in words is "one billion, seventy-six million, four hundred sixty-eight thousand, seven hundred thirty-six".