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101420592 = 243721331107
BaseRepresentation
bin1100000101110…
…00111000110000
321001211200220020
412002320320300
5201430424332
614021443440
72341026600
oct602707060
9231750806
10101420592
1152281879
1229b70580
13180202b0
14d680c00
158d8582c
hex60b8e30

101420592 has 240 divisors, whose sum is σ = 341978112. Its totient is φ = 25643520.

The previous prime is 101420591. The next prime is 101420597. The reversal of 101420592 is 295024101.

It is a super-2 number, since 2×1014205922 = 20572272963260928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101420591) 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 47 ways as a sum of consecutive naturals, for example, 947803 + ... + 947909.

Almost surely, 2101420592 is an apocalyptic number.

101420592 is a gapful number since it is divisible by the number (12) 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 101420592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

101420592 is an abundant number, since it is smaller than the sum of its proper divisors (240557520).

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

101420592 is a wasteful number, since it uses less digits than its factorization.

101420592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 101420592 is about 10070.7791158381. The cubic root of 101420592 is about 466.3464914925.

Adding to 101420592 its reverse (295024101), we get a palindrome (396444693).

The spelling of 101420592 in words is "one hundred one million, four hundred twenty thousand, five hundred ninety-two".