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101453472 = 25364349
BaseRepresentation
bin1100000110000…
…00111010100000
321001220101000000
412003000322200
5201433002342
614022300000
72341224501
oct603007240
9231811000
10101453472
11522a454a
1229b87600
1318032253
14d68cba8
158d9044c
hex60c0ea0

101453472 has 84 divisors (see below), whose sum is σ = 299536650. Its totient is φ = 33810048.

The previous prime is 101453453. The next prime is 101453479. The reversal of 101453472 is 274354101.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 571536 = 10044^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101453479) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21154 + ... + 25502.

Almost surely, 2101453472 is an apocalyptic number.

101453472 is a gapful number since it is divisible by the number (12) 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 101453472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149768325).

101453472 is an abundant number, since it is smaller than the sum of its proper divisors (198083178).

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

101453472 is an frugal number, since it uses more digits than its factorization.

101453472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 101453472 is about 10072.4114292457. The cubic root of 101453472 is about 466.3968817062.

The spelling of 101453472 in words is "one hundred one million, four hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 4349 5832 7776 8698 11664 13047 17396 23328 26094 34792 39141 52188 69584 78282 104376 117423 139168 156564 208752 234846 313128 352269 417504 469692 626256 704538 939384 1056807 1252512 1409076 1878768 2113614 2818152 3170421 3757536 4227228 5636304 6340842 8454456 11272608 12681684 16908912 25363368 33817824 50726736 101453472