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145061940 = 223512719037
BaseRepresentation
bin10001010010101…
…11100000110100
3101002221220120110
420221113200310
5244113440230
622221103020
73411002052
oct1051274064
9332856513
10145061940
117497a201
12406b7a70
132409038a
14153a11d2
15cb064b0
hex8a57834

145061940 has 48 divisors (see below), whose sum is σ = 409393152. Its totient is φ = 38376576.

The previous prime is 145061923. The next prime is 145061947. The reversal of 145061940 is 49160541.

It is a happy number.

145061940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145061898 and 145061907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145061947) 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, 1899 + ... + 17138.

It is an arithmetic number, because the mean of its divisors is an integer number (8529024).

Almost surely, 2145061940 is an apocalyptic number.

145061940 is a gapful number since it is divisible by the number (10) 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 145061940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204696576).

145061940 is an abundant number, since it is smaller than the sum of its proper divisors (264331212).

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

145061940 is a wasteful number, since it uses less digits than its factorization.

145061940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19176 (or 19174 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 145061940 is about 12044.1662226989. The cubic root of 145061940 is about 525.4335828605.

The spelling of 145061940 in words is "one hundred forty-five million, sixty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 19037 38074 57111 76148 95185 114222 190370 228444 285555 380740 571110 1142220 2417699 4835398 7253097 9670796 12088495 14506194 24176990 29012388 36265485 48353980 72530970 145061940