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140476416 = 21531429
BaseRepresentation
bin10000101111110…
…00000000000000
3100210022221102020
420113320000000
5241430221131
621534521440
73324013143
oct1027700000
9323287366
10140476416
1172328013
123b066280
1323146152
141492a05a
15c4ec996
hex85f8000

140476416 has 64 divisors (see below), whose sum is σ = 374860200. Its totient is φ = 46792704.

The previous prime is 140476403. The next prime is 140476451. The reversal of 140476416 is 614674041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97590 + ... + 99018.

Almost surely, 2140476416 is an apocalyptic number.

140476416 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 140476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187430100).

140476416 is an abundant number, since it is smaller than the sum of its proper divisors (234383784).

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

140476416 is an frugal number, since it uses more digits than its factorization.

140476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 140476416 is about 11852.2747183821. The cubic root of 140476416 is about 519.8377403011.

The spelling of 140476416 in words is "one hundred forty million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1429 1536 2048 2858 3072 4096 4287 5716 6144 8192 8574 11432 12288 16384 17148 22864 24576 32768 34296 45728 49152 68592 91456 98304 137184 182912 274368 365824 548736 731648 1097472 1463296 2194944 2926592 4389888 5853184 8779776 11706368 17559552 23412736 35119104 46825472 70238208 140476416