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142000400 = 24521512351
BaseRepresentation
bin10000111011011…
…00000100010000
3100220012100221002
420131230010100
5242323003100
622031321132
73342661223
oct1035540420
9326170832
10142000400
1173179003
123b6801a8
132355aa09
1414c055ba
15c6ee2d5
hex876c110

142000400 has 60 divisors (see below), whose sum is σ = 343561344. Its totient is φ = 56400000.

The previous prime is 142000393. The next prime is 142000451. The reversal of 142000400 is 4000241.

It is a super-2 number, since 2×1420004002 = 40328227200320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59225 + ... + 61575.

Almost surely, 2142000400 is an apocalyptic number.

142000400 is a gapful number since it is divisible by the number (10) 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 142000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171780672).

142000400 is an abundant number, since it is smaller than the sum of its proper divisors (201560944).

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

142000400 is a wasteful number, since it uses less digits than its factorization.

142000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 142000400 is about 11916.3920714283. The cubic root of 142000400 is about 521.7108344960.

Adding to 142000400 its reverse (4000241), we get a palindrome (146000641).

The spelling of 142000400 in words is "one hundred forty-two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 151 200 302 400 604 755 1208 1510 2351 2416 3020 3775 4702 6040 7550 9404 11755 12080 15100 18808 23510 30200 37616 47020 58775 60400 94040 117550 188080 235100 355001 470200 710002 940400 1420004 1775005 2840008 3550010 5680016 7100020 8875025 14200040 17750050 28400080 35500100 71000200 142000400