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119136420 = 22345135657
BaseRepresentation
bin1110001100111…
…10000010100100
322022011202110000
413012132002210
5220444331140
615453301300
72644433334
oct706360244
9268152400
10119136420
1161281a57
1233a94830
131b8b3b30
1411b730c4
15a6d4a30
hex719e0a4

119136420 has 120 divisors (see below), whose sum is σ = 402555384. Its totient is φ = 29320704.

The previous prime is 119136361. The next prime is 119136427. The reversal of 119136420 is 24631911.

119136420 is a `hidden beast` number, since 1 + 1 + 9 + 13 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 117809316 = 1152^2 + 10854^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (119136427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18232 + ... + 23888.

Almost surely, 2119136420 is an apocalyptic number.

119136420 is a gapful number since it is divisible by the number (10) 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 119136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277692).

119136420 is an abundant number, since it is smaller than the sum of its proper divisors (283418964).

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

119136420 is a wasteful number, since it uses less digits than its factorization.

119136420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 119136420 is about 10914.9631240788. The cubic root of 119136420 is about 492.0563588026.

The spelling of 119136420 in words is "one hundred nineteen million, one hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 5657 7020 10530 11314 16971 21060 22628 28285 33942 50913 56570 67884 73541 84855 101826 113140 147082 152739 169710 203652 220623 254565 294164 305478 339420 367705 441246 458217 509130 610956 661869 735410 763695 882492 916434 1018260 1103115 1323738 1470820 1527390 1832868 1985607 2206230 2291085 2647476 3054780 3309345 3971214 4412460 4582170 5956821 6618690 7942428 9164340 9928035 11913642 13237380 19856070 23827284 29784105 39712140 59568210 119136420