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190480000 = 27542381
BaseRepresentation
bin10110101101001…
…11111010000000
3111021102101102211
423112213322000
5342230330000
630522351504
74502024164
oct1326477200
9437371384
10190480000
1198580497
125395b594
1330603079
141b424ca4
1511ac87ba
hexb5a7e80

190480000 has 80 divisors (see below), whose sum is σ = 474387210. Its totient is φ = 76160000.

The previous prime is 190479983. The next prime is 190480001. The reversal of 190480000 is 84091.

190480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 13483584 + 176996416 = 3672^2 + 13304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1904800003 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (190480001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78810 + ... + 81190.

Almost surely, 2190480000 is an apocalyptic number.

190480000 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 190480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237193605).

190480000 is an abundant number, since it is smaller than the sum of its proper divisors (283907210).

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

190480000 is an frugal number, since it uses more digits than its factorization.

190480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 190480000 is about 13801.4491992689. The cubic root of 190480000 is about 575.3734184364.

The spelling of 190480000 in words is "one hundred ninety million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2381 2500 3200 4000 4762 5000 8000 9524 10000 11905 16000 19048 20000 23810 38096 40000 47620 59525 76192 80000 95240 119050 152384 190480 238100 297625 304768 380960 476200 595250 761920 952400 1190500 1488125 1523840 1904800 2381000 2976250 3809600 4762000 5952500 7619200 9524000 11905000 19048000 23810000 38096000 47620000 95240000 190480000