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1030136832 = 21033193753
BaseRepresentation
bin111101011001101…
…010010000000000
32122210101101002000
4331121222100000
54102203334312
6250115224000
734346006244
oct7531522000
92583341060
101030136832
1148953805a
12248ba8000
1313555c52a
149ab54424
1560685adc
hex3d66a400

1030136832 has 352 divisors, whose sum is σ = 3360355200. Its totient is φ = 310542336.

The previous prime is 1030136827. The next prime is 1030136843. The reversal of 1030136832 is 2386310301.

It is a happy number.

It is a super-2 number, since 2×10301368322 = 2122363785285992448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1030136796 and 1030136805.

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, 19436518 + ... + 19436570.

Almost surely, 21030136832 is an apocalyptic number.

1030136832 is a gapful number since it is divisible by the number (12) 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 1030136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680177600).

1030136832 is an abundant number, since it is smaller than the sum of its proper divisors (2330218368).

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

1030136832 is a wasteful number, since it uses less digits than its factorization.

1030136832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1030136832 is about 32095.7447646880. The cubic root of 1030136832 is about 1009.9463527366.

The spelling of 1030136832 in words is "one billion, thirty million, one hundred thirty-six thousand, eight hundred thirty-two".