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5411475120 = 2435197331619
BaseRepresentation
bin1010000101000110…
…01000111010110000
3111222010122102022110
411002203020322300
542040314200440
62252550405320
7251046531252
oct50243107260
914863572273
105411475120
112327700397
121070360840
1368318a2ac
143949b1cd2
1521a135080
hex1428c8eb0

5411475120 has 160 divisors (see below), whose sum is σ = 17693510400. Its totient is φ = 1364401152.

The previous prime is 5411475109. The next prime is 5411475131. The reversal of 5411475120 is 215741145.

It is an interprime number because it is at equal distance from previous prime (5411475109) and next prime (5411475131).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3341671 + ... + 3343289.

It is an arithmetic number, because the mean of its divisors is an integer number (110584440).

Almost surely, 25411475120 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 5411475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846755200).

5411475120 is an abundant number, since it is smaller than the sum of its proper divisors (12282035280).

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

5411475120 is a wasteful number, since it uses less digits than its factorization.

5411475120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 5411475120 is about 73562.7291500254. The cubic root of 5411475120 is about 1755.6524842303.

The spelling of 5411475120 in words is "five billion, four hundred eleven million, four hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 733 760 912 1140 1466 1520 1619 2199 2280 2932 3238 3665 4398 4560 4857 5864 6476 7330 8095 8796 9714 10995 11728 12952 13927 14660 16190 17592 19428 21990 24285 25904 27854 29320 30761 32380 35184 38856 41781 43980 48570 55708 58640 61522 64760 69635 77712 83562 87960 92283 97140 111416 123044 129520 139270 153805 167124 175920 184566 194280 208905 222832 246088 278540 307610 334248 369132 388560 417810 461415 492176 557080 615220 668496 738264 835620 922830 1114160 1186727 1230440 1476528 1671240 1845660 2373454 2460880 3342480 3560181 3691320 4746908 5933635 7120362 7382640 9493816 11867270 14240724 17800905 18987632 22547813 23734540 28481448 35601810 45095626 47469080 56962896 67643439 71203620 90191252 94938160 112739065 135286878 142407240 180382504 225478130 270573756 284814480 338217195 360765008 450956260 541147512 676434390 901912520 1082295024 1352868780 1803825040 2705737560 5411475120