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1146661340 = 2251121313617
BaseRepresentation
bin100010001011000…
…1010100111011100
32221220122102122112
41010112022213130
54322021130330
6305440533152
740262313656
oct10426124734
92856572575
101146661340
11539295700
122800211b8
1315373a546
14ac4076d6
156aa01795
hex4458a9dc

1146661340 has 72 divisors (see below), whose sum is σ = 2667739536. Its totient is φ = 413670400.

The previous prime is 1146661337. The next prime is 1146661393. The reversal of 1146661340 is 431666411.

It is a junction number, because it is equal to n+sod(n) for n = 1146661297 and 1146661306.

It is a congruent number.

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, 315212 + ... + 318828.

It is an arithmetic number, because the mean of its divisors is an integer number (37051938).

Almost surely, 21146661340 is an apocalyptic number.

1146661340 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 1146661340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333869768).

1146661340 is an abundant number, since it is smaller than the sum of its proper divisors (1521078196).

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

1146661340 is a wasteful number, since it uses less digits than its factorization.

1146661340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1146661340 is about 33862.3882796238. The cubic root of 1146661340 is about 1046.6746923984.

The spelling of 1146661340 in words is "one billion, one hundred forty-six million, six hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 131 220 242 262 484 524 605 655 1210 1310 1441 2420 2620 2882 3617 5764 7205 7234 14410 14468 15851 18085 28820 31702 36170 39787 63404 72340 79255 79574 158510 159148 198935 317020 397870 437657 473827 795740 875314 947654 1750628 1895308 2188285 2369135 4376570 4738270 5212097 8753140 9476540 10424194 20848388 26060485 52120970 57333067 104241940 114666134 229332268 286665335 573330670 1146661340