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40375104 = 2637112731
BaseRepresentation
bin1001101000000…
…1001101000000
32210222021020020
42122001031000
540314000404
64001213440
71000116450
oct232011500
983867206
1040375104
1120877460
1211631280
1384984c3
14550dd60
153827ed9
hex2681340

40375104 has 112 divisors (see below), whose sum is σ = 133234176. Its totient is φ = 10483200.

The previous prime is 40375099. The next prime is 40375109. The reversal of 40375104 is 40157304.

It is an interprime number because it is at equal distance from previous prime (40375099) and next prime (40375109).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40375109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13419 + ... + 16149.

Almost surely, 240375104 is an apocalyptic number.

40375104 is a gapful number since it is divisible by the number (44) 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 40375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66617088).

40375104 is an abundant number, since it is smaller than the sum of its proper divisors (92859072).

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

40375104 is a wasteful number, since it uses less digits than its factorization.

40375104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 40375104 is about 6354.1406972147. The cubic root of 40375104 is about 343.0608963495.

The spelling of 40375104 in words is "forty million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 2731 3696 4928 5462 7392 8193 10924 14784 16386 19117 21848 30041 32772 38234 43696 57351 60082 65544 76468 87392 90123 114702 120164 131088 152936 174784 180246 210287 229404 240328 262176 305872 360492 420574 458808 480656 524352 611744 630861 720984 841148 917616 961312 1223488 1261722 1441968 1682296 1835232 1922624 2523444 2883936 3364592 3670464 5046888 5767872 6729184 10093776 13458368 20187552 40375104