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40074040 = 2351967787
BaseRepresentation
bin1001100011011…
…1101100111000
32210101222020201
42120313230320
540224332130
63550531544
7664423636
oct230675470
983358221
1040074040
1120691246
1211506bb4
1383c1466
145472356
1537b8bca
hex2637b38

40074040 has 64 divisors (see below), whose sum is σ = 96451200. Its totient is φ = 14940288.

The previous prime is 40074031. The next prime is 40074053. The reversal of 40074040 is 4047004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 40073999 and 40074017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50527 + ... + 51313.

It is an arithmetic number, because the mean of its divisors is an integer number (1507050).

Almost surely, 240074040 is an apocalyptic number.

40074040 is a gapful number since it is divisible by the number (40) 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 40074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48225600).

40074040 is an abundant number, since it is smaller than the sum of its proper divisors (56377160).

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

40074040 is a wasteful number, since it uses less digits than its factorization.

40074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 40074040 is about 6330.4059901400. The cubic root of 40074040 is about 342.2060703071.

The spelling of 40074040 in words is "forty million, seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 670 760 787 1273 1340 1574 2546 2680 3148 3935 5092 6296 6365 7870 10184 12730 14953 15740 25460 29906 31480 50920 52729 59812 74765 105458 119624 149530 210916 263645 299060 421832 527290 598120 1001851 1054580 2003702 2109160 4007404 5009255 8014808 10018510 20037020 40074040