Search a number
-
+
145102240 = 2551959809
BaseRepresentation
bin10001010011000…
…01010110100000
3101010000221212001
420221201112200
5244121232430
622222013344
73411230413
oct1051412640
9333027761
10145102240
11749a7508
1240717254
13240a581a
14153b1b7a
15cb133ca
hex8a615a0

145102240 has 96 divisors (see below), whose sum is σ = 367416000. Its totient is φ = 53987328.

The previous prime is 145102213. The next prime is 145102241. The reversal of 145102240 is 42201541.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (145102241) 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, 178956 + ... + 179764.

It is an arithmetic number, because the mean of its divisors is an integer number (3827250).

Almost surely, 2145102240 is an apocalyptic number.

145102240 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 145102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183708000).

145102240 is an abundant number, since it is smaller than the sum of its proper divisors (222313760).

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

145102240 is a wasteful number, since it uses less digits than its factorization.

145102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 145102240 is about 12045.8391156449. The cubic root of 145102240 is about 525.4822356700.

Adding to 145102240 its reverse (42201541), we get a palindrome (187303781).

The spelling of 145102240 in words is "one hundred forty-five million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 76 80 95 118 152 160 190 236 295 304 380 472 590 608 760 809 944 1121 1180 1520 1618 1888 2242 2360 3040 3236 4045 4484 4720 5605 6472 8090 8968 9440 11210 12944 15371 16180 17936 22420 25888 30742 32360 35872 44840 47731 61484 64720 76855 89680 95462 122968 129440 153710 179360 190924 238655 245936 307420 381848 477310 491872 614840 763696 906889 954620 1229680 1527392 1813778 1909240 2459360 3627556 3818480 4534445 7255112 7636960 9068890 14510224 18137780 29020448 36275560 72551120 145102240