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1074418128 = 24337355297
BaseRepresentation
bin100000000001010…
…0101000111010000
32202212201002121000
41000002211013100
54200022340003
6254340302000
735424255240
oct10002450720
92685632530
101074418128
11501532273
1225b9a1900
13141794994
14a299db20
15644d11a3
hex400a51d0

1074418128 has 80 divisors (see below), whose sum is σ = 3524556160. Its totient is φ = 306975744.

The previous prime is 1074418127. The next prime is 1074418133. The reversal of 1074418128 is 8218144701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1074418092 and 1074418101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074418127) 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, 174625 + ... + 180672.

It is an arithmetic number, because the mean of its divisors is an integer number (44056952).

Almost surely, 21074418128 is an apocalyptic number.

1074418128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1074418128 is an abundant number, since it is smaller than the sum of its proper divisors (2450138032).

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

1074418128 is a wasteful number, since it uses less digits than its factorization.

1074418128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355321 (or 355309 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1074418128 is about 32778.3179556243. The cubic root of 1074418128 is about 1024.2149461295.

The spelling of 1074418128 in words is "one billion, seventy-four million, four hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 355297 710594 1065891 1421188 2131782 2487079 2842376 3197673 4263564 4974158 5684752 6395346 7461237 8527128 9593019 9948316 12790692 14922474 17054256 19186038 19896632 22383711 25581384 29844948 38372076 39793264 44767422 51162768 59689896 67151133 76744152 89534844 119379792 134302266 153488304 179069688 268604532 358139376 537209064 1074418128