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101069640 = 23335729461
BaseRepresentation
bin1100000011000…
…11001101001000
321001011212111000
412001203031020
5201333212030
614010135000
72335035450
oct601431510
9231155430
10101069640
1152062131
1229a21460
1317c29629
14d5ccd60
158d16860
hex6063348

101069640 has 256 divisors, whose sum is σ = 399168000. Its totient is φ = 22256640.

The previous prime is 101069627. The next prime is 101069671. The reversal of 101069640 is 46960101.

101069640 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 9 + 640 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219010 + ... + 219470.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 2101069640 is an apocalyptic number.

101069640 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 101069640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

101069640 is an abundant number, since it is smaller than the sum of its proper divisors (298098360).

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

101069640 is a wasteful number, since it uses less digits than its factorization.

101069640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101069640 is about 10053.3397435877. The cubic root of 101069640 is about 465.8079605599.

The spelling of 101069640 in words is "one hundred one million, sixty-nine thousand, six hundred forty".