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153401430 = 23571383677
BaseRepresentation
bin10010010010010…
…11100001010110
3101200122121012110
421021023201112
5303232321210
623115531450
73541614330
oct1111134126
9350577173
10153401430
1179655846
1243459b86
1325a201a0
1416532450
15d702420
hex924b856

153401430 has 128 divisors (see below), whose sum is σ = 459260928. Its totient is φ = 31928832.

The previous prime is 153401407. The next prime is 153401449. The reversal of 153401430 is 34104351.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 153401397 and 153401406.

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, 226252 + ... + 226928.

It is an arithmetic number, because the mean of its divisors is an integer number (3587976).

Almost surely, 2153401430 is an apocalyptic number.

153401430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153401430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229630464).

153401430 is an abundant number, since it is smaller than the sum of its proper divisors (305859498).

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

153401430 is a wasteful number, since it uses less digits than its factorization.

153401430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 153401430 is about 12385.5330930889. The cubic root of 153401430 is about 535.3154805092.

Adding to 153401430 its reverse (34104351), we get a palindrome (187505781).

The spelling of 153401430 in words is "one hundred fifty-three million, four hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 83 91 105 130 166 182 195 210 249 273 390 415 455 498 546 581 677 830 910 1079 1162 1245 1354 1365 1743 2031 2158 2490 2730 2905 3237 3385 3486 4062 4739 5395 5810 6474 6770 7553 8715 8801 9478 10155 10790 14217 15106 16185 17430 17602 20310 22659 23695 26403 28434 32370 37765 44005 45318 47390 52806 56191 61607 71085 75530 88010 112382 113295 123214 132015 142170 168573 184821 226590 264030 280955 308035 337146 369642 393337 561910 616070 730483 786674 842865 924105 1180011 1460966 1685730 1848210 1966685 2191449 2360022 3652415 3933370 4382898 5113381 5900055 7304830 10226762 10957245 11800110 15340143 21914490 25566905 30680286 51133810 76700715 153401430