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1014989136 = 243748807
BaseRepresentation
bin111100011111111…
…000000101010000
32121201212210100020
4330133320011100
54034314123021
6244414423440
734103160000
oct7437700520
92551783306
101014989136
11480a313a7
12243b01b80
131323878b5
1498b30000
155e1927c6
hex3c7f8150

1014989136 has 100 divisors (see below), whose sum is σ = 3059229792. Its totient is φ = 289963968.

The previous prime is 1014989119. The next prime is 1014989159. The reversal of 1014989136 is 6319894101.

1014989136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110845 + ... + 119651.

Almost surely, 21014989136 is an apocalyptic number.

1014989136 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 1014989136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529614896).

1014989136 is an abundant number, since it is smaller than the sum of its proper divisors (2044240656).

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

1014989136 is an frugal number, since it uses more digits than its factorization.

1014989136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8846 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1014989136 is about 31858.8941427665. The cubic root of 1014989136 is about 1004.9716206931.

The spelling of 1014989136 in words is "one billion, fourteen million, nine hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2401 2744 4116 4802 5488 7203 8232 8807 9604 14406 16464 17614 19208 26421 28812 35228 38416 52842 57624 61649 70456 105684 115248 123298 140912 184947 211368 246596 369894 422736 431543 493192 739788 863086 986384 1294629 1479576 1726172 2589258 2959152 3020801 3452344 5178516 6041602 6904688 9062403 10357032 12083204 18124806 20714064 21145607 24166408 36249612 42291214 48332816 63436821 72499224 84582428 126873642 144998448 169164856 253747284 338329712 507494568 1014989136