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2074006692 = 22322314916811
BaseRepresentation
bin111101110011110…
…1101010010100100
312100112121110022200
41323213231102210
513221421203232
6541445054500
7102252523512
oct17347552244
95315543280
102074006692
119747a4a1a
1249a6b7430
132708b97c4
141596414b2
15c213077c
hex7b9ed4a4

2074006692 has 72 divisors (see below), whose sum is σ = 5507611200. Its totient is φ = 656800320.

The previous prime is 2074006687. The next prime is 2074006703. The reversal of 2074006692 is 2966004702.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114967 + ... + 131777.

It is an arithmetic number, because the mean of its divisors is an integer number (76494600).

Almost surely, 22074006692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074006692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753805600).

2074006692 is an abundant number, since it is smaller than the sum of its proper divisors (3433604508).

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

2074006692 is a wasteful number, since it uses less digits than its factorization.

2074006692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16993 (or 16988 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2074006692 is about 45541.2636188325. The cubic root of 2074006692 is about 1275.2736446102.

The spelling of 2074006692 in words is "two billion, seventy-four million, six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 149 207 276 298 414 447 596 828 894 1341 1788 2682 3427 5364 6854 10281 13708 16811 20562 30843 33622 41124 50433 61686 67244 100866 123372 151299 201732 302598 386653 605196 773306 1159959 1546612 2319918 2504839 3479877 4639836 5009678 6959754 7514517 10019356 13919508 15029034 22543551 30058068 45087102 57611297 90174204 115222594 172833891 230445188 345667782 518501673 691335564 1037003346 2074006692