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190038000 = 24353191667
BaseRepresentation
bin10110101001110…
…11111111110000
3111020120221010110
423110323333300
5342122204000
630505101320
74465203435
oct1324737760
9436527113
10190038000
11982a93a9
1253787840
13304a9b29
141b34bb8c
1511a3c850
hexb53bff0

190038000 has 160 divisors (see below), whose sum is σ = 645315840. Its totient is φ = 47980800.

The previous prime is 190037999. The next prime is 190038001. The reversal of 190038000 is 830091.

It is an interprime number because it is at equal distance from previous prime (190037999) and next prime (190038001).

It is a super-2 number, since 2×1900380002 = 72228882888000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190038001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113167 + ... + 114833.

It is an arithmetic number, because the mean of its divisors is an integer number (4033224).

Almost surely, 2190038000 is an apocalyptic number.

190038000 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 190038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322657920).

190038000 is an abundant number, since it is smaller than the sum of its proper divisors (455277840).

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

190038000 is a wasteful number, since it uses less digits than its factorization.

190038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 190038000 is about 13785.4270880521. The cubic root of 190038000 is about 574.9280313202.

Adding to 190038000 its reverse (830091), we get a palindrome (190868091).

The spelling of 190038000 in words is "one hundred ninety million, thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1667 1900 2000 2280 2375 2850 3000 3334 3800 4560 4750 5001 5700 6000 6668 7125 7600 8335 9500 10002 11400 13336 14250 16670 19000 20004 22800 25005 26672 28500 31673 33340 38000 40008 41675 50010 57000 63346 66680 80016 83350 95019 100020 114000 125025 126692 133360 158365 166700 190038 200040 208375 250050 253384 316730 333400 380076 400080 416750 475095 500100 506768 625125 633460 666800 760152 791825 833500 950190 1000200 1250250 1266920 1520304 1583650 1667000 1900380 2000400 2375475 2500500 2533840 3167300 3334000 3800760 3959125 4750950 5001000 6334600 7601520 7918250 9501900 10002000 11877375 12669200 15836500 19003800 23754750 31673000 38007600 47509500 63346000 95019000 190038000