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1074834020 = 2251343127757
BaseRepresentation
bin100000000010000…
…1010101001100100
32202220111020002102
41000010022221210
54200124142040
6254353231232
735430636611
oct10004125144
92686436072
101074834020
11501796787
1225bb62518
131418ac080
14a2a6b508
1564564515
hex4010aa64

1074834020 has 96 divisors (see below), whose sum is σ = 2510204928. Its totient is φ = 384072192.

The previous prime is 1074834017. The next prime is 1074834029. The reversal of 1074834020 is 204384701.

It is not an unprimeable number, because it can be changed into a prime (1074834029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419482 + ... + 1420238.

It is an arithmetic number, because the mean of its divisors is an integer number (26147968).

Almost surely, 21074834020 is an apocalyptic number.

1074834020 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 1074834020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255102464).

1074834020 is an abundant number, since it is smaller than the sum of its proper divisors (1435370908).

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

1074834020 is a wasteful number, since it uses less digits than its factorization.

1074834020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 1074834020 is about 32784.6613525289. The cubic root of 1074834020 is about 1024.3470821020.

The spelling of 1074834020 in words is "one billion, seventy-four million, eight hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 127 130 172 215 254 260 430 508 559 635 757 860 1118 1270 1514 1651 2236 2540 2795 3028 3302 3785 5461 5590 6604 7570 8255 9841 10922 11180 15140 16510 19682 21844 27305 32551 33020 39364 49205 54610 65102 70993 96139 98410 109220 130204 141986 162755 192278 196820 283972 325510 354965 384556 423163 480695 651020 709930 846326 961390 1249807 1419860 1692652 1922780 2115815 2499614 4133977 4231630 4999228 6249035 8267954 8463260 12498070 16535908 20669885 24996140 41339770 53741701 82679540 107483402 214966804 268708505 537417010 1074834020