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120328440 = 23353741661
BaseRepresentation
bin1110010110000…
…01000011111000
322101102022120220
413023001003320
5221301002230
615535020040
72660526531
oct713010370
9271368526
10120328440
1161a165a1
123436a620
131bc1057b
1411da3688
15a86cd10
hex72c10f8

120328440 has 128 divisors (see below), whose sum is σ = 380358720. Its totient is φ = 30412800.

The previous prime is 120328409. The next prime is 120328459. The reversal of 120328440 is 44823021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120328440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181710 + ... + 182370.

Almost surely, 2120328440 is an apocalyptic number.

120328440 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 120328440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190179360).

120328440 is an abundant number, since it is smaller than the sum of its proper divisors (260030280).

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

120328440 is a wasteful number, since it uses less digits than its factorization.

120328440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 120328440 is about 10969.4320728103. The cubic root of 120328440 is about 493.6920064344.

The spelling of 120328440 in words is "one hundred twenty million, three hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 41 60 74 82 111 120 123 148 164 185 205 222 246 296 328 370 410 444 492 555 615 661 740 820 888 984 1110 1230 1322 1480 1517 1640 1983 2220 2460 2644 3034 3305 3966 4440 4551 4920 5288 6068 6610 7585 7932 9102 9915 12136 13220 15170 15864 18204 19830 22755 24457 26440 27101 30340 36408 39660 45510 48914 54202 60680 73371 79320 81303 91020 97828 108404 122285 135505 146742 162606 182040 195656 216808 244570 271010 293484 325212 366855 406515 489140 542020 586968 650424 733710 813030 978280 1002737 1084040 1467420 1626060 2005474 2934840 3008211 3252120 4010948 5013685 6016422 8021896 10027370 12032844 15041055 20054740 24065688 30082110 40109480 60164220 120328440