Search a number
-
+
5402265100 = 2252177734111
BaseRepresentation
bin1010000100000000…
…00000011000001100
3111221111022111112121
411002000000120030
542030434440400
62252021142324
7250605332011
oct50200003014
914844274477
105402265100
11232248a801
12106925a9a4
136812b418b
14393695708
1521941621a
hex14200060c

5402265100 has 72 divisors (see below), whose sum is σ = 12431579328. Its totient is φ = 2030668800.

The previous prime is 5402265097. The next prime is 5402265107. The reversal of 5402265100 is 15622045.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5402265107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312045 + ... + 1316155.

It is an arithmetic number, because the mean of its divisors is an integer number (172660824).

Almost surely, 25402265100 is an apocalyptic number.

5402265100 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 5402265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215789664).

5402265100 is an abundant number, since it is smaller than the sum of its proper divisors (7029314228).

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

5402265100 is a wasteful number, since it uses less digits than its factorization.

5402265100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5402265100 is about 73500.1027210167. The cubic root of 5402265100 is about 1754.6559120660.

Adding to 5402265100 its reverse (15622045), we get a palindrome (5417887145).

The spelling of 5402265100 in words is "five billion, four hundred two million, two hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 773 850 1546 1700 3092 3865 4111 7730 8222 13141 15460 16444 19325 20555 26282 38650 41110 52564 65705 69887 77300 82220 102775 131410 139774 205550 262820 279548 328525 349435 411100 657050 698870 1314100 1397740 1747175 3177803 3494350 6355606 6988700 12711212 15889015 31778030 54022651 63556060 79445075 108045302 158890150 216090604 270113255 317780300 540226510 1080453020 1350566275 2701132550 5402265100