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145741500 = 223253139233
BaseRepresentation
bin10001010111111…
…01011010111100
3101011020102202100
420223331122330
5244302212000
622243425100
73416532222
oct1053753274
9334212670
10145741500
11752a3823
1240985190
132426a798
14154dab12
15cbdca00
hex8afd6bc

145741500 has 144 divisors (see below), whose sum is σ = 465060960. Its totient is φ = 38419200.

The previous prime is 145741499. The next prime is 145741523. The reversal of 145741500 is 5147541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625384 + ... + 625616.

It is an arithmetic number, because the mean of its divisors is an integer number (3229590).

Almost surely, 2145741500 is an apocalyptic number.

145741500 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 145741500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232530480).

145741500 is an abundant number, since it is smaller than the sum of its proper divisors (319319460).

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

145741500 is a wasteful number, since it uses less digits than its factorization.

145741500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 145741500 is about 12072.3444284861. The cubic root of 145741500 is about 526.2527904419.

The spelling of 145741500 in words is "one hundred forty-five million, seven hundred forty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 139 150 180 225 233 250 278 300 375 417 450 466 500 556 695 699 750 834 900 932 1125 1165 1251 1390 1398 1500 1668 2085 2097 2250 2330 2502 2780 2796 3475 3495 4170 4194 4500 4660 5004 5825 6255 6950 6990 8340 8388 10425 10485 11650 12510 13900 13980 17375 17475 20850 20970 23300 25020 29125 31275 32387 34750 34950 41700 41940 52125 52425 58250 62550 64774 69500 69900 87375 97161 104250 104850 116500 125100 129548 156375 161935 174750 194322 208500 209700 262125 291483 312750 323870 349500 388644 485805 524250 582966 625500 647740 809675 971610 1048500 1165932 1457415 1619350 1943220 2429025 2914830 3238700 4048375 4858050 5829660 7287075 8096750 9716100 12145125 14574150 16193500 24290250 29148300 36435375 48580500 72870750 145741500