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190280000 = 26546771
BaseRepresentation
bin10110101011101…
…11000101000000
3111021001020002102
423111313011000
5342202430000
630514205532
74500232121
oct1325670500
9437036072
10190280000
11984541a9
12538838a8
1330563021
141b3b2048
1511a893d5
hexb577140

190280000 has 140 divisors (see below), whose sum is σ = 485619552. Its totient is φ = 73920000.

The previous prime is 190279961. The next prime is 190280021. The reversal of 190280000 is 82091.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2679965 + ... + 2680035.

Almost surely, 2190280000 is an apocalyptic number.

190280000 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 190280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242809776).

190280000 is an abundant number, since it is smaller than the sum of its proper divisors (295339552).

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

190280000 is an frugal number, since it uses more digits than its factorization.

190280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 190280000 is about 13794.2016804163. The cubic root of 190280000 is about 575.1719712459.

The spelling of 190280000 in words is "one hundred ninety million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 71 80 100 125 134 142 160 200 250 268 284 320 335 355 400 500 536 568 625 670 710 800 1000 1072 1136 1250 1340 1420 1600 1675 1775 2000 2144 2272 2500 2680 2840 3350 3550 4000 4288 4544 4757 5000 5360 5680 6700 7100 8000 8375 8875 9514 10000 10720 11360 13400 14200 16750 17750 19028 20000 21440 22720 23785 26800 28400 33500 35500 38056 40000 41875 44375 47570 53600 56800 67000 71000 76112 83750 88750 95140 107200 113600 118925 134000 142000 152224 167500 177500 190280 237850 268000 284000 304448 335000 355000 380560 475700 536000 568000 594625 670000 710000 761120 951400 1189250 1340000 1420000 1522240 1902800 2378500 2680000 2840000 2973125 3805600 4757000 5946250 7611200 9514000 11892500 19028000 23785000 38056000 47570000 95140000 190280000