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40134096 = 2433611523
BaseRepresentation
bin1001100100011…
…0010111010000
32210112000122000
42121012113100
540233242341
63552114000
7665064012
oct231062720
983460560
1040134096
1120722382
1211535900
1384128b2
14548a1b2
1537cb8b6
hex26465d0

40134096 has 80 divisors (see below), whose sum is σ = 117165120. Its totient is φ = 13150080.

The previous prime is 40134079. The next prime is 40134113. The reversal of 40134096 is 69043104.

It is an interprime number because it is at equal distance from previous prime (40134079) and next prime (40134113).

It is a super-2 number, since 2×401340962 = 3221491323474432, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25591 + ... + 27113.

It is an arithmetic number, because the mean of its divisors is an integer number (1464564).

Almost surely, 240134096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58582560).

40134096 is an abundant number, since it is smaller than the sum of its proper divisors (77031024).

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

40134096 is a wasteful number, since it uses less digits than its factorization.

40134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

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

The square root of 40134096 is about 6335.1476699442. The cubic root of 40134096 is about 342.3769312929.

The spelling of 40134096 in words is "forty million, one hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1523 1647 2196 2928 3046 3294 4392 4569 6092 6588 8784 9138 12184 13176 13707 18276 24368 26352 27414 36552 41121 54828 73104 82242 92903 109656 164484 185806 219312 278709 328968 371612 557418 657936 743224 836127 1114836 1486448 1672254 2229672 2508381 3344508 4459344 5016762 6689016 10033524 13378032 20067048 40134096