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145413100 = 22527434831
BaseRepresentation
bin10001010101011…
…01001111101100
3101010121202021101
420222231033230
5244211204400
622232412444
73413663620
oct1052551754
9333552241
10145413100
117509a018
1240847124
1324184171
1415453180
15cb7556a
hex8aad3ec

145413100 has 72 divisors (see below), whose sum is σ = 369087488. Its totient is φ = 48686400.

The previous prime is 145413083. The next prime is 145413113. The reversal of 145413100 is 1314541.

It is a super-2 number, since 2×1454131002 = 42289939303220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27685 + ... + 32515.

Almost surely, 2145413100 is an apocalyptic number.

145413100 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 145413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184543744).

145413100 is an abundant number, since it is smaller than the sum of its proper divisors (223674388).

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

145413100 is a wasteful number, since it uses less digits than its factorization.

145413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 145413100 is about 12058.7354229206. The cubic root of 145413100 is about 525.8572238953.

Adding to 145413100 its reverse (1314541), we get a palindrome (146727641).

The spelling of 145413100 in words is "one hundred forty-five million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 4300 4831 6020 7525 9662 15050 19324 24155 30100 33817 48310 67634 96620 120775 135268 169085 207733 241550 338170 415466 483100 676340 830932 845425 1038665 1454131 1690850 2077330 2908262 3381700 4154660 5193325 5816524 7270655 10386650 14541310 20773300 29082620 36353275 72706550 145413100