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145211500 = 2253725927
BaseRepresentation
bin10001010011111…
…00000001101100
3101010020111201201
420221330001230
5244133232000
622224215244
73412164100
oct1051740154
9333214651
10145211500
1174a71605
124076a524
1324113485
14153dd900
15cb3596a
hex8a7c06c

145211500 has 72 divisors (see below), whose sum is σ = 368982432. Its totient is φ = 49778400.

The previous prime is 145211483. The next prime is 145211531. The reversal of 145211500 is 5112541.

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, 21537 + ... + 27463.

It is an arithmetic number, because the mean of its divisors is an integer number (5124756).

Almost surely, 2145211500 is an apocalyptic number.

145211500 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 145211500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184491216).

145211500 is an abundant number, since it is smaller than the sum of its proper divisors (223770932).

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

145211500 is a wasteful number, since it uses less digits than its factorization.

145211500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 145211500 is about 12050.3734381968. The cubic root of 145211500 is about 525.6140962220.

The spelling of 145211500 in words is "one hundred forty-five million, two hundred eleven thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 700 875 980 1225 1750 2450 3500 4900 5927 6125 11854 12250 23708 24500 29635 41489 59270 82978 118540 148175 165956 207445 290423 296350 414890 580846 592700 740875 829780 1037225 1161692 1452115 1481750 2074450 2904230 2963500 4148900 5186125 5808460 7260575 10372250 14521150 20744500 29042300 36302875 72605750 145211500