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212607920 = 24573137331
BaseRepresentation
bin11001010110000…
…10001110110000
3112211001121020102
430223002032300
5413411423140
633032531532
75161065110
oct1453021660
9484047212
10212607920
11aa014528
125b250ba8
133507cc05
1420345040
15139e9e15
hexcac23b0

212607920 has 160 divisors (see below), whose sum is σ = 600723456. Its totient is φ = 68428800.

The previous prime is 212607911. The next prime is 212608003. The reversal of 212607920 is 29706212.

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, 642155 + ... + 642485.

Almost surely, 2212607920 is an apocalyptic number.

212607920 is a gapful number since it is divisible by the number (20) 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 212607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300361728).

212607920 is an abundant number, since it is smaller than the sum of its proper divisors (388115536).

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

212607920 is a wasteful number, since it uses less digits than its factorization.

212607920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 212607920 is about 14581.0808927185. The cubic root of 212607920 is about 596.8425990288.

The spelling of 212607920 in words is "two hundred twelve million, six hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 37 40 56 62 70 74 80 112 124 140 148 155 185 217 248 259 280 296 310 331 370 434 496 518 560 592 620 662 740 868 1036 1085 1147 1240 1295 1324 1480 1655 1736 2072 2170 2294 2317 2480 2590 2648 2960 3310 3472 4144 4340 4588 4634 5180 5296 5735 6620 8029 8680 9176 9268 10261 10360 11470 11585 12247 13240 16058 17360 18352 18536 20522 20720 22940 23170 24494 26480 32116 37072 40145 41044 45880 46340 48988 51305 61235 64232 71827 80290 82088 85729 91760 92680 97976 102610 122470 128464 143654 160580 164176 171458 185360 195952 205220 244940 287308 321160 342916 359135 379657 410440 428645 489880 574616 642320 685832 718270 759314 820880 857290 979760 1149232 1371664 1436540 1518628 1714580 1898285 2657599 2873080 3037256 3429160 3796570 5315198 5746160 6074512 6858320 7593140 10630396 13287995 15186280 21260792 26575990 30372560 42521584 53151980 106303960 212607920