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145435440 = 24352326347
BaseRepresentation
bin10001010101100…
…10101100110000
3101010122212220210
420222302230300
5244212413230
622233104120
73414116013
oct1052625460
9333585823
10145435440
1175104887
1240858040
1324191397
141545b37a
15cb7beb0
hex8ab2b30

145435440 has 80 divisors (see below), whose sum is σ = 470469888. Its totient is φ = 37095168.

The previous prime is 145435439. The next prime is 145435453. The reversal of 145435440 is 44534541.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145435398 and 145435407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7654 + ... + 18693.

Almost surely, 2145435440 is an apocalyptic number.

145435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145435440 is an abundant number, since it is smaller than the sum of its proper divisors (325034448).

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

145435440 is a wasteful number, since it uses less digits than its factorization.

145435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26386 (or 26380 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 145435440 is about 12059.6616867970. The cubic root of 145435440 is about 525.8841518883.

Adding to 145435440 its reverse (44534541), we get a palindrome (189969981).

The spelling of 145435440 in words is "one hundred forty-five million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 26347 52694 79041 105388 131735 158082 210776 263470 316164 395205 421552 526940 605981 632328 790410 1053880 1211962 1264656 1580820 1817943 2107760 2423924 3029905 3161640 3635886 4847848 6059810 6323280 7271772 9089715 9695696 12119620 14543544 18179430 24239240 29087088 36358860 48478480 72717720 145435440