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5380017400 = 2352231378537
BaseRepresentation
bin1010000001010110…
…01000110011111000
3111212221110012102201
411000223020303320
542004241024100
62245504235544
7250215251632
oct50053106370
914787405381
105380017400
11231097477a
12106190bbb4
136797c4964
14390743a52
152174be36a
hex140ac8cf8

5380017400 has 96 divisors (see below), whose sum is σ = 13149203040. Its totient is φ = 2043176960.

The previous prime is 5380017367. The next prime is 5380017407. The reversal of 5380017400 is 47100835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5380017407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625932 + ... + 634468.

It is an arithmetic number, because the mean of its divisors is an integer number (136970865).

Almost surely, 25380017400 is an apocalyptic number.

5380017400 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 5380017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574601520).

5380017400 is an abundant number, since it is smaller than the sum of its proper divisors (7769185640).

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

5380017400 is a wasteful number, since it uses less digits than its factorization.

5380017400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8713 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 5380017400 is about 73348.6018953327. The cubic root of 5380017400 is about 1752.2439133800.

The spelling of 5380017400 in words is "five billion, three hundred eighty million, seventeen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 137 184 200 230 274 460 548 575 685 920 1096 1150 1370 2300 2740 3151 3425 4600 5480 6302 6850 8537 12604 13700 15755 17074 25208 27400 31510 34148 42685 63020 68296 78775 85370 126040 157550 170740 196351 213425 315100 341480 392702 426850 630200 785404 853700 981755 1169569 1570808 1707400 1963510 2339138 3927020 4678276 4908775 5847845 7854040 9356552 9817550 11695690 19635100 23391380 26900087 29239225 39270200 46782760 53800174 58478450 107600348 116956900 134500435 215200696 233913800 269000870 538001740 672502175 1076003480 1345004350 2690008700 5380017400