Search a number
-
+
101092398 = 231143179199
BaseRepresentation
bin1100000011010…
…00110000101110
321001020000200220
412001220300232
5201334424043
614010432210
72335162011
oct601506056
9231200626
10101092398
1152078240
1229a32666
1317c36ab4
14d5d7378
158d1d483
hex6068c2e

101092398 has 64 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 29604960.

The previous prime is 101092393. The next prime is 101092417. The reversal of 101092398 is 893290101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101092391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507903 + ... + 508101.

It is an arithmetic number, because the mean of its divisors is an integer number (3564000).

Almost surely, 2101092398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101092398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

101092398 is an abundant number, since it is smaller than the sum of its proper divisors (127003602).

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

101092398 is a wasteful number, since it uses less digits than its factorization.

101092398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 101092398 is about 10054.4715425526. The cubic root of 101092398 is about 465.8429201580.

The spelling of 101092398 in words is "one hundred one million, ninety-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 179 199 258 358 398 473 537 597 946 1074 1194 1419 1969 2189 2838 3938 4378 5907 6567 7697 8557 11814 13134 15394 17114 23091 25671 35621 46182 51342 71242 84667 94127 106863 169334 188254 213726 254001 282381 391831 508002 564762 783662 1175493 1531703 2350986 3063406 4595109 9190218 16848733 33697466 50546199 101092398