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19976940 = 22325294389
BaseRepresentation
bin100110000110…
…1001011101100
31101120221012200
41030031023230
520103230230
61552101500
7331541544
oct114151354
941527180
1019976940
1110304a75
126834890
1341a5a99
142920324
151b49160
hex130d2ec

19976940 has 144 divisors (see below), whose sum is σ = 64864800. Its totient is φ = 4967424.

The previous prime is 19976939. The next prime is 19976947. The reversal of 19976940 is 4967991.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (19976947) 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, 224416 + ... + 224504.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 219976940 is an apocalyptic number.

19976940 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 19976940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432400).

19976940 is an abundant number, since it is smaller than the sum of its proper divisors (44887860).

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

19976940 is a wasteful number, since it uses less digits than its factorization.

19976940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19976940 is about 4469.5570250306. The cubic root of 19976940 is about 271.3373974215.

It can be divided in two parts, 199769 and 40, that added together give a square (199809 = 4472).

The spelling of 19976940 in words is "nineteen million, nine hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 43 45 58 60 86 87 89 90 116 129 145 172 174 178 180 215 258 261 267 290 348 356 387 430 435 445 516 522 534 580 645 774 801 860 870 890 1044 1068 1247 1290 1305 1335 1548 1602 1740 1780 1935 2494 2580 2581 2610 2670 3204 3741 3827 3870 4005 4988 5162 5220 5340 6235 7482 7654 7740 7743 8010 10324 11223 11481 12470 12905 14964 15308 15486 16020 18705 19135 22446 22962 23229 24940 25810 30972 34443 37410 38270 38715 44892 45924 46458 51620 56115 57405 68886 74820 76540 77430 92916 110983 112230 114810 116145 137772 154860 172215 221966 224460 229620 232290 332949 344430 443932 464580 554915 665898 688860 998847 1109830 1331796 1664745 1997694 2219660 3329490 3995388 4994235 6658980 9988470 19976940