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2000972454 = 2313174797331
BaseRepresentation
bin111011101000100…
…0110101010100110
312011110011221011220
41313101012222212
513044222104304
6530315441210
7100404661635
oct16721065246
95143157156
102000972454
11937551248
1247a156206
1325b727b90
1414da6d51c
15baa05ad9
hex77446aa6

2000972454 has 128 divisors (see below), whose sum is σ = 4722665472. Its totient is φ = 559595520.

The previous prime is 2000972431. The next prime is 2000972461. The reversal of 2000972454 is 4542790002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6045069 + ... + 6045399.

It is an arithmetic number, because the mean of its divisors is an integer number (36895824).

Almost surely, 22000972454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000972454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361332736).

2000972454 is an abundant number, since it is smaller than the sum of its proper divisors (2721693018).

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

2000972454 is a wasteful number, since it uses less digits than its factorization.

2000972454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2000972454 is about 44732.2305949524. The cubic root of 2000972454 is about 1260.1252193517.

The spelling of 2000972454 in words is "two billion, nine hundred seventy-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 47 51 78 94 97 102 141 194 221 282 291 331 442 582 611 662 663 799 993 1222 1261 1326 1598 1649 1833 1986 2397 2522 3298 3666 3783 4303 4559 4794 4947 5627 7566 8606 9118 9894 10387 11254 12909 13677 15557 16881 20774 21437 25818 27354 31114 31161 32107 33762 42874 46671 59267 62322 64214 64311 73151 77503 93342 96321 118534 128622 146302 155006 177801 192642 202241 219453 232509 264469 355602 404482 417391 438906 465018 528938 545819 606723 793407 834782 1007539 1091638 1213446 1252173 1509029 1586814 1637457 2015078 2504346 3018058 3022617 3274914 3438097 4527087 6045234 6876194 7095647 9054174 10314291 14191294 19617377 20628582 21286941 25653493 39234754 42573882 51306986 58852131 76960479 117704262 153920958 333495409 666990818 1000486227 2000972454