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101478076 = 22729472659
BaseRepresentation
bin1100000110001…
…10111010111100
321001221121202021
412003012322330
5201434244301
614023005524
72341356310
oct603067274
9231847667
10101478076
1152310a87
1229b998a4
13180404cb
14d697b40
158d978a1
hex60c6ebc

101478076 has 48 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 41082048.

The previous prime is 101478073. The next prime is 101478079. The reversal of 101478076 is 670874101.

It is an interprime number because it is at equal distance from previous prime (101478073) and next prime (101478079).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101478071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36835 + ... + 39493.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2101478076 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 101478076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

101478076 is an abundant number, since it is smaller than the sum of its proper divisors (113024324).

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

101478076 is a wasteful number, since it uses less digits than its factorization.

101478076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 101478076 is about 10073.6327111921. The cubic root of 101478076 is about 466.4345814226.

The spelling of 101478076 in words is "one hundred one million, four hundred seventy-eight thousand, seventy-six".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 203 329 406 658 812 1316 1363 2659 2726 5318 5452 9541 10636 18613 19082 37226 38164 74452 77111 124973 154222 249946 308444 499892 539777 874811 1079554 1749622 2159108 3499244 3624217 7248434 14496868 25369519 50739038 101478076