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145719100 = 22525032897
BaseRepresentation
bin10001010111101…
…11111100111100
3101011012022000201
420223313330330
5244301002400
622243133244
73416410012
oct1053677474
9334168021
10145719100
1175288a0a
1240974224
1324260527
14154d28b2
15cbd606a
hex8af7f3c

145719100 has 36 divisors (see below), whose sum is σ = 316948464. Its totient is φ = 58151680.

The previous prime is 145719097. The next prime is 145719103. The reversal of 145719100 is 1917541.

It is an interprime number because it is at equal distance from previous prime (145719097) and next prime (145719103).

It is a super-2 number, since 2×1457191002 = 42468112209620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145719103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48852 + ... + 51748.

It is an arithmetic number, because the mean of its divisors is an integer number (8804124).

Almost surely, 2145719100 is an apocalyptic number.

145719100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145719100 is an abundant number, since it is smaller than the sum of its proper divisors (171229364).

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

145719100 is a wasteful number, since it uses less digits than its factorization.

145719100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 145719100 is about 12071.4166525723. The cubic root of 145719100 is about 526.2258279398.

The spelling of 145719100 in words is "one hundred forty-five million, seven hundred nineteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 503 1006 2012 2515 2897 5030 5794 10060 11588 12575 14485 25150 28970 50300 57940 72425 144850 289700 1457191 2914382 5828764 7285955 14571910 29143820 36429775 72859550 145719100