Search a number
-
+
1160304920 = 2351923411619
BaseRepresentation
bin100010100101000…
…1101100100011000
32222212022121010022
41011022031210120
54334014224140
6311045210012
740516300115
oct10512154430
92885277108
101160304920
11545a64295
12284700908
13156506678
14b015990c
156bce90b5
hex4528d918

1160304920 has 128 divisors (see below), whose sum is σ = 2939328000. Its totient is φ = 410065920.

The previous prime is 1160304913. The next prime is 1160304949. The reversal of 1160304920 is 294030611.

It is a self number, because there is not a number n which added to its sum of digits gives 1160304920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715871 + ... + 717489.

It is an arithmetic number, because the mean of its divisors is an integer number (22963500).

Almost surely, 21160304920 is an apocalyptic number.

1160304920 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 1160304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664000).

1160304920 is an abundant number, since it is smaller than the sum of its proper divisors (1779023080).

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

1160304920 is a wasteful number, since it uses less digits than its factorization.

1160304920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1160304920 is about 34063.2488174572. The cubic root of 1160304920 is about 1050.8096310315.

The spelling of 1160304920 in words is "one billion, one hundred sixty million, three hundred four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 41 46 76 82 92 95 115 152 164 184 190 205 230 328 380 410 437 460 760 779 820 874 920 943 1558 1619 1640 1748 1886 2185 3116 3238 3496 3772 3895 4370 4715 6232 6476 7544 7790 8095 8740 9430 12952 15580 16190 17480 17917 18860 30761 31160 32380 35834 37237 37720 61522 64760 66379 71668 74474 89585 123044 132758 143336 148948 153805 179170 186185 246088 265516 297896 307610 331895 358340 372370 531032 615220 663790 707503 716680 744740 1230440 1261201 1327580 1415006 1489480 1526717 2522402 2655160 2830012 3053434 3537515 5044804 5660024 6106868 6306005 7075030 7633585 10089608 12213736 12612010 14150060 15267170 25224020 28300120 29007623 30534340 50448040 58015246 61068680 116030492 145038115 232060984 290076230 580152460 1160304920