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11972070 = 23351129139
BaseRepresentation
bin101101101010…
…110111100110
3211112020121000
4231222313212
511031101240
61104334130
7203521665
oct55526746
924466530
1011972070
116837880
124014346
132632386
141838ddc
1510b7430
hexb6ade6

11972070 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 2782080.

The previous prime is 11972021. The next prime is 11972083. The reversal of 11972070 is 7027911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86061 + ... + 86199.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 211972070 is an apocalyptic number.

11972070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11972070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11972070 is an abundant number, since it is smaller than the sum of its proper divisors (24315930).

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

11972070 is a wasteful number, since it uses less digits than its factorization.

11972070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 11972070 is about 3460.0679184085. The cubic root of 11972070 is about 228.7650890342.

Adding to 11972070 its reverse (7027911), we get a palindrome (18999981).

The spelling of 11972070 in words is "eleven million, nine hundred seventy-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 139 145 165 174 198 261 270 278 290 297 319 330 417 435 495 522 594 638 695 783 834 870 957 990 1251 1305 1390 1485 1529 1566 1595 1914 2085 2502 2610 2871 2970 3058 3190 3753 3915 4031 4170 4587 4785 5742 6255 7506 7645 7830 8062 8613 9174 9570 12093 12510 13761 14355 15290 17226 18765 20155 22935 24186 27522 28710 36279 37530 40310 41283 43065 44341 45870 60465 68805 72558 82566 86130 88682 108837 120930 133023 137610 181395 206415 217674 221705 266046 362790 399069 412830 443410 544185 665115 798138 1088370 1197207 1330230 1995345 2394414 3990690 5986035 11972070