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1010041632 = 25323507089
BaseRepresentation
bin111100001101000…
…000001100100000
32121101120102122100
4330031000030200
54032032313012
6244120410400
734013132535
oct7415001440
92541512570
101010041632
11479162256
12242316a00
13131344992
1498202d8c
155da168dc
hex3c340320

1010041632 has 36 divisors (see below), whose sum is σ = 2872306710. Its totient is φ = 336680448.

The previous prime is 1010041603. The next prime is 1010041649. The reversal of 1010041632 is 2361400101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1008951696 + 1089936 = 31764^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753257 + ... + 1753832.

Almost surely, 21010041632 is an apocalyptic number.

1010041632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010041632 is an abundant number, since it is smaller than the sum of its proper divisors (1862265078).

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

1010041632 is a wasteful number, since it uses less digits than its factorization.

1010041632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507105 (or 3507094 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1010041632 is about 31781.1521502918. The cubic root of 1010041632 is about 1003.3360689346.

Adding to 1010041632 its reverse (2361400101), we get a palindrome (3371441733).

The spelling of 1010041632 in words is "one billion, ten million, forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3507089 7014178 10521267 14028356 21042534 28056712 31563801 42085068 56113424 63127602 84170136 112226848 126255204 168340272 252510408 336680544 505020816 1010041632