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142413432 = 23372929231
BaseRepresentation
bin10000111110100…
…00111001111000
3100220222100111120
420133100321320
5242424212212
622044225240
73346331340
oct1037207170
9326870446
10142413432
1173430357
123b83b220
1323673a05
1414cb1d20
15c78188c
hex87d0e78

142413432 has 64 divisors (see below), whose sum is σ = 420940800. Its totient is φ = 39285120.

The previous prime is 142413413. The next prime is 142413449. The reversal of 142413432 is 234314241.

142413432 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1424134322 = 40563171228037248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 9744 + ... + 19487.

It is an arithmetic number, because the mean of its divisors is an integer number (6577200).

Almost surely, 2142413432 is an apocalyptic number.

142413432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

142413432 is the 9744-th pentagonal number.

It is an amenable number.

142413432 is an abundant number, since it is smaller than the sum of its proper divisors (278527368).

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

142413432 is a wasteful number, since it uses less digits than its factorization.

142413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29276 (or 29272 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 142413432 is about 11933.7099009487. The cubic root of 142413432 is about 522.2161727046.

Adding to 142413432 its reverse (234314241), we get a palindrome (376727673).

It can be divided in two parts, 142413 and 432, that added together give a triangular number (142845 = T534).

The spelling of 142413432 in words is "one hundred forty-two million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 29231 58462 87693 116924 175386 204617 233848 350772 409234 613851 701544 818468 847699 1227702 1636936 1695398 2455404 2543097 3390796 4910808 5086194 5933893 6781592 10172388 11867786 17801679 20344776 23735572 35603358 47471144 71206716 142413432