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1168428408 = 233719389941
BaseRepresentation
bin100010110100100…
…1100110101111000
310000102121022110020
41011221030311320
54343104202113
6311535250440
740645322550
oct10551146570
93012538406
101168428408
1154a602614
12287379a20
131580bc074
14b1272160
156c8a1023
hex45a4cd78

1168428408 has 128 divisors (see below), whose sum is σ = 3526848000. Its totient is φ = 315118080.

The previous prime is 1168428367. The next prime is 1168428421. The reversal of 1168428408 is 8048248611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1168428408.

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, 1241218 + ... + 1242158.

It is an arithmetic number, because the mean of its divisors is an integer number (27553500).

Almost surely, 21168428408 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 1168428408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763424000).

1168428408 is an abundant number, since it is smaller than the sum of its proper divisors (2358419592).

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

1168428408 is a wasteful number, since it uses less digits than its factorization.

1168428408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 1168428408 is about 34182.2820771229. The cubic root of 1168428408 is about 1053.2562279545.

It can be divided in two parts, 116842 and 8408, that added together give a triangular number (125250 = T500).

The spelling of 1168428408 in words is "one billion, one hundred sixty-eight million, four hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 389 399 456 532 778 798 941 1064 1167 1556 1596 1882 2334 2723 2823 3112 3192 3764 4668 5446 5646 6587 7391 7528 8169 9336 10892 11292 13174 14782 16338 17879 19761 21784 22173 22584 26348 29564 32676 35758 39522 44346 51737 52696 53637 59128 65352 71516 79044 88692 103474 107274 125153 143032 155211 158088 177384 206948 214548 250306 310422 366049 375459 413896 429096 500612 620844 732098 750918 1001224 1098147 1241688 1464196 1501836 2196294 2562343 2928392 3003672 4392588 5124686 6954931 7687029 8785176 10249372 13909862 15374058 20498744 20864793 27819724 30748116 41729586 48684517 55639448 61496232 83459172 97369034 146053551 166918344 194738068 292107102 389476136 584214204 1168428408