Search a number
-
+
28401940 = 2257375483
BaseRepresentation
bin110110001011…
…0000100010100
31222102222010201
41230112010110
524232330230
62452430244
7463261330
oct154260424
958388121
1028401940
1115039886
129618384
135b657a8
143ab47c0
1527605ca
hex1b16114

28401940 has 48 divisors (see below), whose sum is σ = 70019712. Its totient is φ = 9472896.

The previous prime is 28401937. The next prime is 28402007. The reversal of 28401940 is 4910482.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 28401899 and 28401908.

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, 2439 + ... + 7921.

It is an arithmetic number, because the mean of its divisors is an integer number (1458744).

Almost surely, 228401940 is an apocalyptic number.

28401940 is a gapful number since it is divisible by the number (20) 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 28401940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35009856).

28401940 is an abundant number, since it is smaller than the sum of its proper divisors (41617772).

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

28401940 is a wasteful number, since it uses less digits than its factorization.

28401940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 28401940 is about 5329.3470519380. The cubic root of 28401940 is about 305.1050072904.

The spelling of 28401940 in words is "twenty-eight million, four hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 5483 10966 21932 27415 38381 54830 76762 109660 153524 191905 202871 383810 405742 767620 811484 1014355 1420097 2028710 2840194 4057420 5680388 7100485 14200970 28401940