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142978416 = 24371812351
BaseRepresentation
bin10001000010110…
…10110101110000
3100222001001111220
420201122311300
5243100302131
622104305040
73354203460
oct1041326560
9328031456
10142978416
1173786889
123ba72180
1323810c19
1414dbbba0
15c843e96
hex885ad70

142978416 has 80 divisors (see below), whose sum is σ = 424639488. Its totient is φ = 40608000.

The previous prime is 142978403. The next prime is 142978421. The reversal of 142978416 is 614879241.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 59641 + ... + 61991.

Almost surely, 2142978416 is an apocalyptic number.

142978416 is a gapful number since it is divisible by the number (16) 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 142978416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212319744).

142978416 is an abundant number, since it is smaller than the sum of its proper divisors (281661072).

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

142978416 is a wasteful number, since it uses less digits than its factorization.

142978416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2544 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 142978416 is about 11957.3582366675. The cubic root of 142978416 is about 522.9058419040.

The spelling of 142978416 in words is "one hundred forty-two million, nine hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 336 362 543 724 1086 1267 1448 2172 2351 2534 2896 3801 4344 4702 5068 7053 7602 8688 9404 10136 14106 15204 16457 18808 20272 28212 30408 32914 37616 49371 56424 60816 65828 98742 112848 131656 197484 263312 394968 425531 789936 851062 1276593 1702124 2553186 2978717 3404248 5106372 5957434 6808496 8936151 10212744 11914868 17872302 20425488 23829736 35744604 47659472 71489208 142978416