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1012733040 = 243511383611
BaseRepresentation
bin111100010111010…
…001010001110000
32121120122011120010
4330113101101300
54033224424130
6244254214520
734045042314
oct7427212160
92546564503
101012733040
1147a730360
122431b4440
13131a77a27
1498703b44
155dd990b0
hex3c5d1470

1012733040 has 80 divisors (see below), whose sum is σ = 3424887936. Its totient is φ = 245510400.

The previous prime is 1012733039. The next prime is 1012733077. The reversal of 1012733040 is 403372101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1012732998 and 1012733016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189166 + ... + 194445.

Almost surely, 21012733040 is an apocalyptic number.

1012733040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012733040 is an abundant number, since it is smaller than the sum of its proper divisors (2412154896).

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

1012733040 is a wasteful number, since it uses less digits than its factorization.

1012733040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383638 (or 383632 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1012733040 is about 31823.4668130297. The cubic root of 1012733040 is about 1004.2264585491.

The spelling of 1012733040 in words is "one billion, twelve million, seven hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 383611 767222 1150833 1534444 1918055 2301666 3068888 3836110 4219721 4603332 5754165 6137776 7672220 8439442 9206664 11508330 12659163 15344440 16878884 18413328 21098605 23016660 25318326 30688880 33757768 42197210 46033320 50636652 63295815 67515536 84394420 92066640 101273304 126591630 168788840 202546608 253183260 337577680 506366520 1012733040