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146643420 = 223571131741
BaseRepresentation
bin10001011110110…
…01100111011100
3101012221020221210
420233121213130
5300020042140
622315024420
73430306560
oct1057314734
9335836853
10146643420
117585a410
124113b110
13244c5171
14156936a0
15cd19d80
hex8bd99dc

146643420 has 96 divisors (see below), whose sum is σ = 511934976. Its totient is φ = 30470400.

The previous prime is 146643397. The next prime is 146643437. The reversal of 146643420 is 24346641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 11251 + ... + 20490.

It is an arithmetic number, because the mean of its divisors is an integer number (5332656).

Almost surely, 2146643420 is an apocalyptic number.

146643420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146643420 is an abundant number, since it is smaller than the sum of its proper divisors (365291556).

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

146643420 is a wasteful number, since it uses less digits than its factorization.

146643420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31771 (or 31769 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 146643420 is about 12109.6416131940. The cubic root of 146643420 is about 527.3361290279.

The spelling of 146643420 in words is "one hundred forty-six million, six hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 31741 63482 95223 126964 158705 190446 222187 317410 349151 380892 444374 476115 634820 666561 698302 888748 952230 1047453 1110935 1333122 1396604 1745755 1904460 2094906 2221870 2444057 2666244 3332805 3491510 4189812 4443740 4888114 5237265 6665610 6983020 7332171 9776228 10474530 12220285 13331220 14664342 20949060 24440570 29328684 36660855 48881140 73321710 146643420