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20101392 = 2433193179
BaseRepresentation
bin100110010101…
…1100100010000
31101211020221000
41030223210100
520121221032
61554502000
7332600433
oct114534420
941736830
1020101392
111038a523
126894900
13421a61c
14295381a
151b70e7c
hex132b910

20101392 has 160 divisors (see below), whose sum is σ = 63488000. Its totient is φ = 6065280.

The previous prime is 20101387. The next prime is 20101399. The reversal of 20101392 is 29310102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20101399) 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, 254409 + ... + 254487.

It is an arithmetic number, because the mean of its divisors is an integer number (396800).

Almost surely, 220101392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744000).

20101392 is an abundant number, since it is smaller than the sum of its proper divisors (43386608).

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

20101392 is a wasteful number, since it uses less digits than its factorization.

20101392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20101392 is about 4483.4575943127. The cubic root of 20101392 is about 271.8996890778.

Adding to 20101392 its reverse (29310102), we get a palindrome (49411494).

The spelling of 20101392 in words is "twenty million, one hundred one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 79 93 108 114 124 144 152 158 171 186 216 228 237 248 279 304 316 342 372 432 456 474 496 513 558 589 632 684 711 744 837 912 948 1026 1116 1178 1264 1368 1422 1488 1501 1674 1767 1896 2052 2133 2232 2356 2449 2736 2844 3002 3348 3534 3792 4104 4266 4464 4503 4712 4898 5301 5688 6004 6696 7068 7347 8208 8532 9006 9424 9796 10602 11376 12008 13392 13509 14136 14694 15903 17064 18012 19592 21204 22041 24016 27018 28272 29388 31806 34128 36024 39184 40527 42408 44082 46531 54036 58776 63612 66123 72048 81054 84816 88164 93062 108072 117552 127224 132246 139593 162108 176328 186124 216144 254448 264492 279186 324216 352656 372248 418779 528984 558372 648432 744496 837558 1057968 1116744 1256337 1675116 2233488 2512674 3350232 5025348 6700464 10050696 20101392