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1010152640 = 26572232801
BaseRepresentation
bin111100001101011…
…011010011000000
32121101210001220202
4330031123103000
54032044341030
6244123024332
734014104300
oct7415332300
92541701822
101010152640
114792286a2
1224236b0a8
13131383373
1498231600
155da39745
hex3c35b4c0

1010152640 has 168 divisors, whose sum is σ = 2920849632. Its totient is φ = 331161600.

The previous prime is 1010152553. The next prime is 1010152643. The reversal of 1010152640 is 462510101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1010152643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359240 + ... + 362040.

Almost surely, 21010152640 is an apocalyptic number.

1010152640 is a gapful number since it is divisible by the number (10) 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 1010152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460424816).

1010152640 is an abundant number, since it is smaller than the sum of its proper divisors (1910696992).

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

1010152640 is a wasteful number, since it uses less digits than its factorization.

1010152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1010152640 is about 31782.8985462308. The cubic root of 1010152640 is about 1003.3728245979.

Adding to 1010152640 its reverse (462510101), we get a palindrome (1472662741).

The spelling of 1010152640 in words is "one billion, ten million, one hundred fifty-two thousand, six hundred forty".