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1012975740 = 223357733671
BaseRepresentation
bin111100011000001…
…100100001111100
32121121002111111000
4330120030201330
54033310210430
6244303330300
734050103020
oct7430144174
92547074430
101012975740
1147a886737
122432b0990
13131b3133a
1498768380
155dde5e60
hex3c60c87c

1012975740 has 192 divisors, whose sum is σ = 3652024320. Its totient is φ = 228303360.

The previous prime is 1012975727. The next prime is 1012975759. The reversal of 1012975740 is 475792101.

It is a happy number.

It is a super-2 number, since 2×10129757402 = 2052239699657095200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1012975695 and 1012975704.

It is a congruent number.

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, 274105 + ... + 277775.

It is an arithmetic number, because the mean of its divisors is an integer number (19020960).

Almost surely, 21012975740 is an apocalyptic number.

1012975740 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 1012975740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826012160).

1012975740 is an abundant number, since it is smaller than the sum of its proper divisors (2639048580).

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

1012975740 is a wasteful number, since it uses less digits than its factorization.

1012975740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1012975740 is about 31827.2798083657. The cubic root of 1012975740 is about 1004.3066726118.

The spelling of 1012975740 in words is "one billion, twelve million, nine hundred seventy-five thousand, seven hundred forty".