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5354180720 = 245731730161
BaseRepresentation
bin1001111110010001…
…00101000001110000
3111211010211120011122
410333020211001300
541431132240340
62243142401412
7246452533220
oct47710450160
914733746148
105354180720
1122a8328249
121055130268
13674349995
1438b13a080
152150b8db5
hex13f225070

5354180720 has 80 divisors (see below), whose sum is σ = 14272175808. Its totient is φ = 1829867520.

The previous prime is 5354180687. The next prime is 5354180737. The reversal of 5354180720 is 270814535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162440 + ... + 192600.

Almost surely, 25354180720 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 5354180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136087904).

5354180720 is an abundant number, since it is smaller than the sum of its proper divisors (8917995088).

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

5354180720 is a wasteful number, since it uses less digits than its factorization.

5354180720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30498 (or 30492 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 5354180720 is about 73172.2674242093. The cubic root of 5354180720 is about 1749.4344534428.

The spelling of 5354180720 in words is "five billion, three hundred fifty-four million, one hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 317 560 634 1268 1585 2219 2536 3170 4438 5072 6340 8876 11095 12680 17752 22190 25360 30161 35504 44380 60322 88760 120644 150805 177520 211127 241288 301610 422254 482576 603220 844508 1055635 1206440 1689016 2111270 2412880 3378032 4222540 8445080 9561037 16890160 19122074 38244148 47805185 66927259 76488296 95610370 133854518 152976592 191220740 267709036 334636295 382441480 535418072 669272590 764882960 1070836144 1338545180 2677090360 5354180720