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203455980 = 2232571312421
BaseRepresentation
bin11000010000001…
…11110111101100
3112011211122010200
430020013313230
5404041042410
632104433500
75020230060
oct1410076754
9464748120
10203455980
11a4933542
1258178890
13331c7370
141d041aa0
1512cdd3c0
hexc207dec

203455980 has 144 divisors (see below), whose sum is σ = 759630144. Its totient is φ = 42923520.

The previous prime is 203455979. The next prime is 203456023. The reversal of 203455980 is 89554302.

203455980 is a `hidden beast` number, since 20 + 3 + 4 + 559 + 80 = 666.

203455980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10170 + ... + 22590.

Almost surely, 2203455980 is an apocalyptic number.

203455980 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 203455980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379815072).

203455980 is an abundant number, since it is smaller than the sum of its proper divisors (556174164).

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

203455980 is a wasteful number, since it uses less digits than its factorization.

203455980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12456 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 203455980 is about 14263.7996340386. The cubic root of 203455980 is about 588.1527785707.

The spelling of 203455980 in words is "two hundred three million, four hundred fifty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 12421 16380 24842 37263 49684 62105 74526 86947 111789 124210 149052 161473 173894 186315 223578 248420 260841 322946 347788 372630 434735 447156 484419 521682 558945 645892 745260 782523 807365 869470 968838 1043364 1117890 1130311 1304205 1453257 1565046 1614730 1738940 1937676 2235780 2260622 2422095 2608410 2906514 3130092 3229460 3390933 3912615 4521244 4844190 5216820 5651555 5813028 6781866 7266285 7825230 9688380 10172799 11303110 13563732 14532570 15650460 16954665 20345598 22606220 29065140 33909330 40691196 50863995 67818660 101727990 203455980