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190553148 = 22343131879
BaseRepresentation
bin10110101101110…
…01110000111100
3111021120002210000
423112321300330
5342240200043
630524114300
74502450352
oct1326716074
9437502700
10190553148
1198620445
1253995990
133062a456
141b4437d2
1511ae02d3
hexb5b9c3c

190553148 has 60 divisors (see below), whose sum is σ = 500001040. Its totient is φ = 63281088.

The previous prime is 190553131. The next prime is 190553149. The reversal of 190553148 is 841355091.

190553148 is a `hidden beast` number, since 1 + 90 + 553 + 14 + 8 = 666.

It is a super-3 number, since 3×1905531483 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190553149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100473 + ... + 102351.

Almost surely, 2190553148 is an apocalyptic number.

190553148 is a gapful number since it is divisible by the number (18) 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 190553148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250000520).

190553148 is an abundant number, since it is smaller than the sum of its proper divisors (309447892).

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

190553148 is a wasteful number, since it uses less digits than its factorization.

190553148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 190553148 is about 13804.0989564694. The cubic root of 190553148 is about 575.4470605135.

The spelling of 190553148 in words is "one hundred ninety million, five hundred fifty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 313 324 626 939 1252 1878 1879 2817 3756 3758 5634 5637 7516 8451 11268 11274 16902 16911 22548 25353 33804 33822 50706 50733 67644 101412 101466 152199 202932 304398 588127 608796 1176254 1764381 2352508 3528762 5293143 7057524 10586286 15879429 21172572 31758858 47638287 63517716 95276574 190553148