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420375501 = 34713241107
BaseRepresentation
bin11001000011100…
…110101111001101
31002022000021210000
4121003212233031
51330104004001
6105414034513
713263063360
oct3103465715
91068007700
10420375501
111a6322377
12b8948a39
1369126900
143db8a0d7
1526d8aa86
hex190e6bcd

420375501 has 120 divisors (see below), whose sum is σ = 803525184. Its totient is φ = 214306560.

The previous prime is 420375499. The next prime is 420375539. The reversal of 420375501 is 105573024.

It is a happy number.

It is not a de Polignac number, because 420375501 - 21 = 420375499 is a prime.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420375581) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3928690 + ... + 3928796.

Almost surely, 2420375501 is an apocalyptic number.

420375501 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

420375501 is a deficient number, since it is larger than the sum of its proper divisors (383149683).

420375501 is a wasteful number, since it uses less digits than its factorization.

420375501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 420375501 is about 20503.0607715043. The cubic root of 420375501 is about 749.1103531218.

The spelling of 420375501 in words is "four hundred twenty million, three hundred seventy-five thousand, five hundred one".

Divisors: 1 3 7 9 13 21 27 39 41 63 81 91 107 117 123 169 189 273 287 321 351 369 507 533 567 749 819 861 963 1053 1107 1183 1391 1521 1599 2247 2457 2583 2889 3321 3549 3731 4173 4387 4563 4797 6741 6929 7371 7749 8667 9737 10647 11193 12519 13161 13689 14391 18083 20223 20787 23247 29211 30709 31941 33579 37557 39483 43173 48503 54249 57031 60669 62361 87633 92127 95823 100737 112671 118449 126581 145509 162747 171093 187083 262899 276381 302211 355347 379743 399217 436527 488241 513279 561249 741403 788697 829143 1139229 1197651 1309581 1464723 1539837 2224209 2487429 3417687 3592953 3928743 4619511 5189821 6672627 10253061 10778859 15569463 20017881 32336577 46708389 60053643 140125167 420375501