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190299424 = 2572343859
BaseRepresentation
bin10110101011110…
…11110100100000
3111021002012201211
423111323310200
5342204040144
630514435504
74500342550
oct1325736440
9437065654
10190299424
1198467857
1253892b94
133056bb13
141b3b9160
1511a90034
hexb57bd20

190299424 has 96 divisors (see below), whose sum is σ = 457712640. Its totient is φ = 76108032.

The previous prime is 190299413. The next prime is 190299427. The reversal of 190299424 is 424992091.

It is not an unprimeable number, because it can be changed into a prime (190299427) 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, 221107 + ... + 221965.

It is an arithmetic number, because the mean of its divisors is an integer number (4767840).

Almost surely, 2190299424 is an apocalyptic number.

190299424 is a gapful number since it is divisible by the number (14) 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 190299424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228856320).

190299424 is an abundant number, since it is smaller than the sum of its proper divisors (267413216).

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

190299424 is a wasteful number, since it uses less digits than its factorization.

190299424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 190299424 is about 13794.9057263904. The cubic root of 190299424 is about 575.1915419842.

The spelling of 190299424 in words is "one hundred ninety million, two hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 86 92 112 161 172 184 224 301 322 344 368 602 644 688 736 859 989 1204 1288 1376 1718 1978 2408 2576 3436 3956 4816 5152 6013 6872 6923 7912 9632 12026 13744 13846 15824 19757 24052 27488 27692 31648 36937 39514 48104 55384 73874 79028 96208 110768 138299 147748 158056 192416 221536 258559 276598 295496 316112 517118 553196 590992 632224 849551 1034236 1106392 1181984 1699102 2068472 2212784 3398204 4136944 4425568 5946857 6796408 8273888 11893714 13592816 23787428 27185632 47574856 95149712 190299424