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1009774164 = 22374101347
BaseRepresentation
bin111100001011111…
…110111001010100
32121101001211202010
4330023332321110
54032000233124
6244110544220
734010640000
oct7413767124
92541054663
101009774164
11478a9a303
12242208070
13131280009
1498173700
155d9b2529
hex3c2fee54

1009774164 has 120 divisors (see below), whose sum is σ = 2783880288. Its totient is φ = 284827200.

The previous prime is 1009774159. The next prime is 1009774169. The reversal of 1009774164 is 4614779001.

It is an interprime number because it is at equal distance from previous prime (1009774159) and next prime (1009774169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009774169) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2909839 + ... + 2910185.

Almost surely, 21009774164 is an apocalyptic number.

1009774164 is a gapful number since it is divisible by the number (14) 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 1009774164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391940144).

1009774164 is an abundant number, since it is smaller than the sum of its proper divisors (1774106124).

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

1009774164 is a wasteful number, since it uses less digits than its factorization.

1009774164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1009774164 is about 31776.9439059202. The cubic root of 1009774164 is about 1003.2474970135.

The spelling of 1009774164 in words is "one billion, nine million, seven hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 101 147 196 202 294 303 343 347 404 588 606 686 694 707 1029 1041 1212 1372 1388 1414 2058 2082 2121 2401 2429 2828 4116 4164 4242 4802 4858 4949 7203 7287 8484 9604 9716 9898 14406 14574 14847 17003 19796 28812 29148 29694 34006 34643 35047 51009 59388 68012 69286 70094 102018 103929 105141 119021 138572 140188 204036 207858 210282 238042 242501 245329 357063 415716 420564 476084 485002 490658 714126 727503 735987 833147 970004 981316 1428252 1455006 1471974 1666294 1717303 2499441 2910012 2943948 3332588 3434606 4998882 5151909 6869212 9997764 10303818 12021121 20607636 24042242 36063363 48084484 72126726 84147847 144253452 168295694 252443541 336591388 504887082 1009774164