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145325440 = 2751317467
BaseRepresentation
bin10001010100101…
…11110110000000
3101010110022000201
420222113312000
5244200403230
622230454544
73413150221
oct1052276600
9333408021
10145325440
117503a177
1240804454
13241532b0
141542d248
15cb595ca
hex8a97d80

145325440 has 64 divisors (see below), whose sum is σ = 374164560. Its totient is φ = 53655552.

The previous prime is 145325429. The next prime is 145325459. The reversal of 145325440 is 44523541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1453254402 = 42238967022387200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145325399 and 145325408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 17053.

Almost surely, 2145325440 is an apocalyptic number.

145325440 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 145325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187082280).

145325440 is an abundant number, since it is smaller than the sum of its proper divisors (228839120).

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

145325440 is a wasteful number, since it uses less digits than its factorization.

145325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17499 (or 17487 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 145325440 is about 12055.1001654901. The cubic root of 145325440 is about 525.7515344028.

Adding to 145325440 its reverse (44523541), we get a palindrome (189848981).

The spelling of 145325440 in words is "one hundred forty-five million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 17467 34934 69868 87335 139736 174670 227071 279472 349340 454142 558944 698680 908284 1117888 1135355 1397360 1816568 2235776 2270710 2794720 3633136 4541420 5589440 7266272 9082840 11178880 14532544 18165680 29065088 36331360 72662720 145325440