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61440093 = 33111315913
BaseRepresentation
bin1110101001100…
…0000001011101
311021121110222000
43222120001131
5111212040333
610032512513
71344142431
oct352300135
9137543860
1061440093
1131754940
12186ab739
13c9625b0
1482349c1
1555d9713
hex3a9805d

61440093 has 32 divisors (see below), whose sum is σ = 106942080. Its totient is φ = 34369920.

The previous prime is 61440089. The next prime is 61440097. The reversal of 61440093 is 39004416.

61440093 is a `hidden beast` number, since 614 + 40 + 0 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (61440089) and next prime (61440097).

It is not a de Polignac number, because 61440093 - 22 = 61440089 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61440097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4096 + ... + 11817.

It is an arithmetic number, because the mean of its divisors is an integer number (3341940).

Almost surely, 261440093 is an apocalyptic number.

It is an amenable number.

61440093 is a deficient number, since it is larger than the sum of its proper divisors (45501987).

61440093 is a wasteful number, since it uses less digits than its factorization.

61440093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61440093 is about 7838.3731092619. The cubic root of 61440093 is about 394.5941309880.

The spelling of 61440093 in words is "sixty-one million, four hundred forty thousand, ninety-three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 15913 47739 143217 175043 206869 429651 525129 620607 1575387 1861821 2275559 4726161 5585463 6826677 20480031 61440093