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1445500240 = 245193130677
BaseRepresentation
bin101011000101000…
…1001010101010000
310201201222000112221
41112022021111100
510430022001430
6355234030424
750551356262
oct12612112520
93651860487
101445500240
11681a467a8
12344118414
131a061c9b2
14d9d97b32
1586d8157a
hex56289550

1445500240 has 80 divisors (see below), whose sum is σ = 3651909120. Its totient is φ = 530081280.

The previous prime is 1445500237. The next prime is 1445500241. The reversal of 1445500240 is 420055441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445500241) 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, 31782 + ... + 62458.

It is an arithmetic number, because the mean of its divisors is an integer number (45648864).

Almost surely, 21445500240 is an apocalyptic number.

1445500240 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 1445500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825954560).

1445500240 is an abundant number, since it is smaller than the sum of its proper divisors (2206408880).

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

1445500240 is a wasteful number, since it uses less digits than its factorization.

1445500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30740 (or 30734 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 1445500240 is about 38019.7348754565. The cubic root of 1445500240 is about 1130.6791646435.

Adding to 1445500240 its reverse (420055441), we get a palindrome (1865555681).

The spelling of 1445500240 in words is "one billion, four hundred forty-five million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 30677 47120 61354 122708 153385 245416 306770 490832 582863 613540 950987 1165726 1227080 1901974 2331452 2454160 2914315 3803948 4662904 4754935 5828630 7607896 9325808 9509870 11657260 15215792 18068753 19019740 23314520 36137506 38039480 46629040 72275012 76078960 90343765 144550024 180687530 289100048 361375060 722750120 1445500240