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146998440 = 233251921491
BaseRepresentation
bin10001100001100…
…00010010101000
3101020121021221200
420300300102220
5300112422230
622330404200
73433315611
oct1060602250
9336537850
10146998440
1175a82116
1241290660
13245ba934
1415746c08
15cd8a160
hex8c304a8

146998440 has 96 divisors (see below), whose sum is σ = 502912800. Its totient is φ = 37134720.

The previous prime is 146998433. The next prime is 146998463. The reversal of 146998440 is 44899641.

146998440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3906 + ... + 17585.

It is an arithmetic number, because the mean of its divisors is an integer number (5238675).

Almost surely, 2146998440 is an apocalyptic number.

146998440 is a gapful number since it is divisible by the number (10) 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 146998440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251456400).

146998440 is an abundant number, since it is smaller than the sum of its proper divisors (355914360).

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

146998440 is a wasteful number, since it uses less digits than its factorization.

146998440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21527 (or 21520 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 146998440 is about 12124.2913194958. The cubic root of 146998440 is about 527.7613418663.

The spelling of 146998440 in words is "one hundred forty-six million, nine hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 21491 42982 64473 85964 107455 128946 171928 193419 214910 257892 322365 386838 408329 429820 515784 644730 773676 816658 859640 967095 1224987 1289460 1547352 1633316 1934190 2041645 2449974 2578920 3266632 3674961 3868380 4083290 4899948 6124935 7349922 7736760 8166580 9799896 12249870 14699844 16333160 18374805 24499740 29399688 36749610 48999480 73499220 146998440