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146236416 = 2103181263
BaseRepresentation
bin10001011011101…
…10010000000000
3101012011120122120
420231312100000
5244414031131
622302204240
73423663144
oct1055662000
9335146576
10146236416
1175601647
1240b83680
13243b1b31
14155c9224
15cc89496
hex8b76400

146236416 has 88 divisors (see below), whose sum is σ = 393417024. Its totient is φ = 48291840.

The previous prime is 146236399. The next prime is 146236427. The reversal of 146236416 is 614632641.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555901 + ... + 556163.

It is an arithmetic number, because the mean of its divisors is an integer number (4470648).

Almost surely, 2146236416 is an apocalyptic number.

146236416 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 146236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196708512).

146236416 is an abundant number, since it is smaller than the sum of its proper divisors (247180608).

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

146236416 is a wasteful number, since it uses less digits than its factorization.

146236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 146236416 is about 12092.8249801277. The cubic root of 146236416 is about 526.8478089363.

The spelling of 146236416 in words is "one hundred forty-six million, two hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 263 362 384 512 526 543 724 768 789 1024 1052 1086 1448 1536 1578 2104 2172 2896 3072 3156 4208 4344 5792 6312 8416 8688 11584 12624 16832 17376 23168 25248 33664 34752 46336 47603 50496 67328 69504 92672 95206 100992 134656 139008 142809 185344 190412 201984 269312 278016 285618 380824 403968 556032 571236 761648 807936 1142472 1523296 2284944 3046592 4569888 6093184 9139776 12186368 18279552 24372736 36559104 48745472 73118208 146236416