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1402132120 = 235175094051
BaseRepresentation
bin101001110010010…
…1101011010011000
310121201100200200021
41103210231122120
510332421211440
6351044320224
746513632514
oct12344553230
93551320607
101402132120
1165a515684
123316a3074
1319464709c
14d4309144
158316684a
hex5392d698

1402132120 has 64 divisors (see below), whose sum is σ = 3347762400. Its totient is φ = 526694400.

The previous prime is 1402132111. The next prime is 1402132129. The reversal of 1402132120 is 212312041.

It is an interprime number because it is at equal distance from previous prime (1402132111) and next prime (1402132129).

It is a junction number, because it is equal to n+sod(n) for n = 1402132094 and 1402132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402132129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344095 + ... + 348145.

Almost surely, 21402132120 is an apocalyptic number.

1402132120 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 1402132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673881200).

1402132120 is an abundant number, since it is smaller than the sum of its proper divisors (1945630280).

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

1402132120 is a wasteful number, since it uses less digits than its factorization.

1402132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1402132120 is about 37445.0546801577. The cubic root of 1402132120 is about 1119.2565538100.

Adding to 1402132120 its reverse (212312041), we get a palindrome (1614444161).

The spelling of 1402132120 in words is "one billion, four hundred two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 509 680 1018 2036 2545 4051 4072 5090 8102 8653 10180 16204 17306 20255 20360 32408 34612 40510 43265 68867 69224 81020 86530 137734 162040 173060 275468 344335 346120 550936 688670 1377340 2061959 2754680 4123918 8247836 10309795 16495672 20619590 35053303 41239180 70106606 82478360 140213212 175266515 280426424 350533030 701066060 1402132120