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20101400 = 2352119137
BaseRepresentation
bin100110010101…
…1100100011000
31101211020221022
41030223210120
520121221100
61554502012
7332600444
oct114534430
941736838
1020101400
111038a530
126894908
13421a627
142953824
151b70e85
hex132b918

20101400 has 48 divisors (see below), whose sum is σ = 50990040. Its totient is φ = 7308800.

The previous prime is 20101399. The next prime is 20101421. The reversal of 20101400 is 410102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2369 + ... + 6768.

Almost surely, 220101400 is an apocalyptic number.

20101400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101400 is an abundant number, since it is smaller than the sum of its proper divisors (30888640).

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

20101400 is a wasteful number, since it uses less digits than its factorization.

20101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 20101400 is about 4483.4584864812. The cubic root of 20101400 is about 271.8997251482.

Adding to 20101400 its reverse (410102), we get a palindrome (20511502).

The spelling of 20101400 in words is "twenty million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 9137 18274 36548 45685 73096 91370 100507 182740 201014 228425 365480 402028 456850 502535 804056 913700 1005070 1827400 2010140 2512675 4020280 5025350 10050700 20101400