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5305494000 = 243537312113
BaseRepresentation
bin1001111000011101…
…10110100111110000
3111200202020000112210
410330032312213300
541331201302000
62234243052120
7245321645352
oct47416664760
914622200483
105305494000
1122828a4194
121040971040
13667231281
143848a50d2
15210b9d350
hex13c3b69f0

5305494000 has 160 divisors (see below), whose sum is σ = 17340657984. Its totient is φ = 1395302400.

The previous prime is 5305493987. The next prime is 5305494017. The reversal of 5305494000 is 4945035.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 431944 + ... + 444056.

Almost surely, 25305494000 is an apocalyptic number.

5305494000 is a gapful number since it is divisible by the number (50) 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 5305494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670328992).

5305494000 is an abundant number, since it is smaller than the sum of its proper divisors (12035163984).

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

5305494000 is a wasteful number, since it uses less digits than its factorization.

5305494000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12196 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5305494000 is about 72838.8220662580. The cubic root of 5305494000 is about 1744.1156374100.

The spelling of 5305494000 in words is "five billion, three hundred five million, four hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 73 75 80 100 120 125 146 150 200 219 240 250 292 300 365 375 400 438 500 584 600 730 750 876 1000 1095 1168 1200 1460 1500 1752 1825 2000 2190 2920 3000 3504 3650 4380 5475 5840 6000 7300 8760 9125 10950 12113 14600 17520 18250 21900 24226 27375 29200 36339 36500 43800 48452 54750 60565 72678 73000 87600 96904 109500 121130 145356 146000 181695 193808 219000 242260 290712 302825 363390 438000 484520 581424 605650 726780 884249 908475 969040 1211300 1453560 1514125 1768498 1816950 2422600 2652747 2907120 3028250 3536996 3633900 4421245 4542375 4845200 5305494 6056500 7073992 7267800 8842490 9084750 10610988 12113000 13263735 14147984 14535600 17684980 18169500 21221976 22106225 24226000 26527470 35369960 36339000 42443952 44212450 53054940 66318675 70739920 72678000 88424900 106109880 110531125 132637350 176849800 212219760 221062250 265274700 331593375 353699600 442124500 530549400 663186750 884249000 1061098800 1326373500 1768498000 2652747000 5305494000