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5346820480 = 27529319293
BaseRepresentation
bin1001111101011001…
…00000000110000000
3111210121222121211011
410332230200012000
541422241223410
62242320530304
7246333136621
oct47654400600
914717877734
105346820480
1122a4160401
121052780994
13672970801
1438a181a48
1521461318a
hex13eb20180

5346820480 has 128 divisors (see below), whose sum is σ = 13651027200. Its totient is φ = 1998151680.

The previous prime is 5346820471. The next prime is 5346820483. The reversal of 5346820480 is 840286435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346820483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570714 + ... + 580006.

It is an arithmetic number, because the mean of its divisors is an integer number (106648650).

Almost surely, 25346820480 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 5346820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825513600).

5346820480 is an abundant number, since it is smaller than the sum of its proper divisors (8304206720).

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

5346820480 is a wasteful number, since it uses less digits than its factorization.

5346820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9372 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 5346820480 is about 73121.9562101562. The cubic root of 5346820480 is about 1748.6324532344.

The spelling of 5346820480 in words is "five billion, three hundred forty-six million, eight hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 64 80 116 124 128 145 155 160 232 248 290 310 320 464 496 580 620 640 899 928 992 1160 1240 1798 1856 1984 2320 2480 3596 3712 3968 4495 4640 4960 7192 8990 9280 9293 9920 14384 17980 18560 18586 19840 28768 35960 37172 46465 57536 71920 74344 92930 115072 143840 148688 185860 269497 287680 288083 297376 371720 538994 575360 576166 594752 743440 1077988 1152332 1189504 1347485 1440415 1486880 2155976 2304664 2694970 2880830 2973760 4311952 4609328 5389940 5761660 5947520 8354407 8623904 9218656 10779880 11523320 16708814 17247808 18437312 21559760 23046640 33417628 34495616 36874624 41772035 43119520 46093280 66835256 83544070 86239040 92186560 133670512 167088140 172478080 184373120 267341024 334176280 534682048 668352560 1069364096 1336705120 2673410240 5346820480