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399209940 = 2232529312467
BaseRepresentation
bin10111110010110…
…111010111010100
31000211011222002100
4113302313113110
51304144204230
6103340242100
712615141243
oct2762672724
91024158070
10399209940
11195386378
12b1840330
1364925acc
143b03a95a
15250a9660
hex17cb75d4

399209940 has 144 divisors (see below), whose sum is σ = 1293626880. Its totient is φ = 99429120.

The previous prime is 399209927. The next prime is 399209947. The reversal of 399209940 is 49902993.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399209947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160587 + ... + 163053.

It is an arithmetic number, because the mean of its divisors is an integer number (8983520).

Almost surely, 2399209940 is an apocalyptic number.

399209940 is a gapful number since it is divisible by the number (30) 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 399209940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646813440).

399209940 is an abundant number, since it is smaller than the sum of its proper divisors (894416940).

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

399209940 is a wasteful number, since it uses less digits than its factorization.

399209940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 399209940 is about 19980.2387373124. The cubic root of 399209940 is about 736.3208790071.

The spelling of 399209940 in words is "three hundred ninety-nine million, two hundred nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 45 58 60 62 87 90 93 116 124 145 155 174 180 186 261 279 290 310 348 372 435 465 522 558 580 620 870 899 930 1044 1116 1305 1395 1740 1798 1860 2467 2610 2697 2790 3596 4495 4934 5220 5394 5580 7401 8091 8990 9868 10788 12335 13485 14802 16182 17980 22203 24670 26970 29604 32364 37005 40455 44406 49340 53940 71543 74010 76477 80910 88812 111015 143086 148020 152954 161820 214629 222030 229431 286172 305908 357715 382385 429258 444060 458862 643887 688293 715430 764770 858516 917724 1073145 1147155 1287774 1376586 1430860 1529540 2146290 2217833 2294310 2575548 2753172 3219435 3441465 4292580 4435666 4588620 6438870 6653499 6882930 8871332 11089165 12877740 13306998 13765860 19960497 22178330 26613996 33267495 39920994 44356660 66534990 79841988 99802485 133069980 199604970 399209940