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190820352 = 212353293
BaseRepresentation
bin10110101111110…
…11000000000000
3111022001200022110
423113323000000
5342322222402
630533535320
74504642362
oct1327730000
9438050273
10190820352
1198793178
1253aa4540
13306c1c68
141b4b2d32
1511b4456c
hexb5fb000

190820352 has 104 divisors (see below), whose sum is σ = 520161264. Its totient is φ = 62193664.

The previous prime is 190820339. The next prime is 190820353. The reversal of 190820352 is 253028091.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (190820353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651118 + ... + 651410.

Almost surely, 2190820352 is an apocalyptic number.

190820352 is a gapful number since it is divisible by the number (12) 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 190820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260080632).

190820352 is an abundant number, since it is smaller than the sum of its proper divisors (329340912).

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

190820352 is an equidigital number, since it uses as much as digits as its factorization.

190820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 190820352 is about 13813.7739955452. The cubic root of 190820352 is about 575.7159092885.

The spelling of 190820352 in words is "one hundred ninety million, eight hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 293 318 384 424 512 586 636 768 848 879 1024 1172 1272 1536 1696 1758 2048 2344 2544 3072 3392 3516 4096 4688 5088 6144 6784 7032 9376 10176 12288 13568 14064 15529 18752 20352 27136 28128 31058 37504 40704 46587 54272 56256 62116 75008 81408 93174 108544 112512 124232 150016 162816 186348 217088 225024 248464 300032 325632 372696 450048 496928 600064 651264 745392 900096 993856 1200128 1490784 1800192 1987712 2981568 3600384 3975424 5963136 7950848 11926272 15901696 23852544 31803392 47705088 63606784 95410176 190820352