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145194580 = 225191812111
BaseRepresentation
bin10001010011101…
…11111001010100
3101010012122112001
420221313321110
5244132211310
622224005044
73412063546
oct1051677124
9333178461
10145194580
1174a5a923
1240760784
132410886b
14153d7696
15cb3093a
hex8a77e54

145194580 has 48 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 54691200.

The previous prime is 145194563. The next prime is 145194583. The reversal of 145194580 is 85491541.

It is a super-2 number, since 2×1451945802 = 42162932122752800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145194583) 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, 67725 + ... + 69835.

It is an arithmetic number, because the mean of its divisors is an integer number (6726720).

Almost surely, 2145194580 is an apocalyptic number.

145194580 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 145194580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

145194580 is an abundant number, since it is smaller than the sum of its proper divisors (177687980).

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

145194580 is a wasteful number, since it uses less digits than its factorization.

145194580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 145194580 is about 12049.6713648132. The cubic root of 145194580 is about 525.5936806306.

It can be divided in two parts, 1451945 and 80, that added together give a square (1452025 = 12052).

The spelling of 145194580 in words is "one hundred forty-five million, one hundred ninety-four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 181 190 362 380 724 905 1810 2111 3439 3620 4222 6878 8444 10555 13756 17195 21110 34390 40109 42220 68780 80218 160436 200545 382091 401090 764182 802180 1528364 1910455 3820910 7259729 7641820 14519458 29038916 36298645 72597290 145194580