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991412640 = 253254631487
BaseRepresentation
bin111011000101111…
…100000110100000
32120002111222110200
4323011330012200
54012300201030
6242213225200
733365603601
oct7305740640
92502458420
10991412640
11469698a99
12238032200
1312a5215ca
1495953da8
155c086d60
hex3b17c1a0

991412640 has 144 divisors (see below), whose sum is σ = 3392782848. Its totient is φ = 263628288.

The previous prime is 991412623. The next prime is 991412663. The reversal of 991412640 is 46214199.

It is a happy number.

991412640 is a `hidden beast` number, since 9 + 9 + 1 + 4 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 991412595 and 991412604.

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, 665977 + ... + 667463.

It is an arithmetic number, because the mean of its divisors is an integer number (23560992).

Almost surely, 2991412640 is an apocalyptic number.

991412640 is a gapful number since it is divisible by the number (90) 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 991412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696391424).

991412640 is an abundant number, since it is smaller than the sum of its proper divisors (2401370208).

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

991412640 is a wasteful number, since it uses less digits than its factorization.

991412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 991412640 is about 31486.7057660848. The cubic root of 991412640 is about 997.1293137125.

The spelling of 991412640 in words is "nine hundred ninety-one million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 463 480 720 926 1389 1440 1487 1852 2315 2778 2974 3704 4167 4461 4630 5556 5948 6945 7408 7435 8334 8922 9260 11112 11896 13383 13890 14816 14870 16668 17844 18520 20835 22224 22305 23792 26766 27780 29740 33336 35688 37040 41670 44448 44610 47584 53532 55560 59480 66672 66915 71376 74080 83340 89220 107064 111120 118960 133344 133830 142752 166680 178440 214128 222240 237920 267660 333360 356880 428256 535320 666720 688481 713760 1070640 1376962 2065443 2141280 2753924 3442405 4130886 5507848 6196329 6884810 8261772 10327215 11015696 12392658 13769620 16523544 20654430 22031392 24785316 27539240 30981645 33047088 41308860 49570632 55078480 61963290 66094176 82617720 99141264 110156960 123926580 165235440 198282528 247853160 330470880 495706320 991412640